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136325520 = 24325296529
BaseRepresentation
bin10000010000000…
…10100110010000
3100111112001110100
420020002212100
5234344404040
621305532400
73243514332
oct1010024620
9314461410
10136325520
116aa52421
12397a4100
13223219b6
1414169452
15be7cb30
hex8202990

136325520 has 120 divisors (see below), whose sum is σ = 473686200. Its totient is φ = 35094528.

The previous prime is 136325509. The next prime is 136325587. The reversal of 136325520 is 25523631.

136325520 is a `hidden beast` number, since 1 + 3 + 632 + 5 + 5 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 135210384 = 1056^2 + 11628^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17616 + ... + 24144.

It is an arithmetic number, because the mean of its divisors is an integer number (3947385).

Almost surely, 2136325520 is an apocalyptic number.

136325520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236843100).

136325520 is an abundant number, since it is smaller than the sum of its proper divisors (337360680).

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

136325520 is a wasteful number, since it uses less digits than its factorization.

136325520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 136325520 is about 11675.8520031730. The cubic root of 136325520 is about 514.6662870887. Note that the first 3 decimals are identical.

The spelling of 136325520 in words is "one hundred thirty-six million, three hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6529 6960 10440 13058 19587 20880 26116 32645 39174 52232 58761 65290 78348 97935 104464 117522 130580 156696 189341 195870 235044 261160 293805 313392 378682 391740 470088 522320 568023 587610 757364 783480 940176 946705 1136046 1175220 1514728 1566960 1704069 1893410 2272092 2350440 2840115 3029456 3408138 3786820 4544184 4700880 5680230 6816276 7573640 8520345 9088368 11360460 13632552 15147280 17040690 22720920 27265104 34081380 45441840 68162760 136325520