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136228365 = 3357132853
BaseRepresentation
bin10000001111010…
…10111000001101
3100111100010012000
420013222320031
5234333301430
621303502513
73242631150
oct1007527015
9314303160
10136228365
116a996429
1239757a39
13222b9700
1414141c97
15be5de60
hex81eae0d

136228365 has 96 divisors (see below), whose sum is σ = 300061440. Its totient is φ = 57417984.

The previous prime is 136228349. The next prime is 136228373. The reversal of 136228365 is 563822631.

It is a happy number.

It is not a de Polignac number, because 136228365 - 24 = 136228349 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159279 + ... + 160131.

It is an arithmetic number, because the mean of its divisors is an integer number (3125640).

Almost surely, 2136228365 is an apocalyptic number.

136228365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136228365 is an abundant number, since it is smaller than the sum of its proper divisors (163833075).

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

136228365 is a wasteful number, since it uses less digits than its factorization.

136228365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 881 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 136228365 is about 11671.6907515578. The cubic root of 136228365 is about 514.5439957617.

The spelling of 136228365 in words is "one hundred thirty-six million, two hundred twenty-eight thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 169 189 195 273 315 351 455 507 585 819 845 853 945 1183 1365 1521 1755 2457 2535 2559 3549 4095 4265 4563 5915 5971 7605 7677 10647 11089 12285 12795 17745 17913 22815 23031 29855 31941 33267 38385 53235 53739 55445 77623 89565 99801 115155 144157 159705 161217 166335 232869 268695 299403 388115 432471 499005 698607 720785 806085 1009099 1164345 1297413 1497015 2095821 2162355 3027297 3493035 3892239 5045495 6487065 9081891 10479105 15136485 19461195 27245673 45409455 136228365