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2136152025 = 3252723109541
BaseRepresentation
bin111111101010011…
…0001011111011001
312111212112202200200
41333110301133121
513333323331100
6551545052413
7103635664320
oct17724613731
95455482620
102136152025
119a68906a7
124b7487109
132807380a7
141639bb0b7
15c7808e00
hex7f5317d9

2136152025 has 144 divisors (see below), whose sum is σ = 4613157120. Its totient is φ = 923788800.

The previous prime is 2136152023. The next prime is 2136152033. The reversal of 2136152025 is 5202516312.

It is a happy number.

2136152025 is a `hidden beast` number, since 2 + 1 + 3 + 615 + 20 + 25 = 666.

It is not a de Polignac number, because 2136152025 - 21 = 2136152023 is a prime.

It is a super-3 number, since 3×21361520253 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2136152025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136152023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3948255 + ... + 3948795.

Almost surely, 22136152025 is an apocalyptic number.

2136152025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2136152025 is an abundant number, since it is smaller than the sum of its proper divisors (2477005095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2136152025 is a wasteful number, since it uses less digits than its factorization.

2136152025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2136152025 is about 46218.5246951912. The cubic root of 2136152025 is about 1287.8858918062.

Adding to 2136152025 its reverse (5202516312), we get a palindrome (7338668337).

The spelling of 2136152025 in words is "two billion, one hundred thirty-six million, one hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 109 115 161 175 207 225 315 327 345 483 525 541 545 575 763 805 981 1035 1449 1575 1623 1635 1725 2289 2415 2507 2705 2725 3787 3815 4025 4869 4905 5175 6867 7245 7521 8115 8175 11361 11445 12075 12443 12535 13525 17549 18935 19075 22563 24345 24525 34083 34335 36225 37329 37605 40575 52647 56805 57225 58969 62215 62675 87101 87745 94675 111987 112815 121725 157941 170415 171675 176907 186645 188025 261303 263235 284025 294845 311075 412783 435505 438725 530721 559935 564075 783909 789705 852075 884535 933225 1238349 1306515 1316175 1356287 1474225 2063915 2177525 2653605 2799675 3715047 3919545 3948525 4068861 4422675 6191745 6532575 6781435 9494009 10319575 12206583 13268025 18575235 19597725 20344305 28482027 30958725 33907175 47470045 61032915 85446081 92876175 101721525 142410135 237350225 305164575 427230405 712050675 2136152025