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135296865 = 33511312939
BaseRepresentation
bin10000001000001…
…11011101100001
3100102120210102000
420010013131201
5234113444430
621231514213
73232001334
oct1004073541
9312523360
10135296865
116a40a5a0
1239388969
1322051722
1413d7c61b
15bd27e60
hex8107761

135296865 has 64 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 63460800.

The previous prime is 135296857. The next prime is 135296869. The reversal of 135296865 is 568692531.

135296865 is a `hidden beast` number, since 1 + 3 + 529 + 68 + 65 = 666.

It is not a de Polignac number, because 135296865 - 23 = 135296857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135296865.

It is not an unprimeable number, because it can be changed into a prime (135296869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44566 + ... + 47504.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2135296865 is an apocalyptic number.

135296865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135296865 is an abundant number, since it is smaller than the sum of its proper divisors (135653535).

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

135296865 is a wasteful number, since it uses less digits than its factorization.

135296865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2989 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 135296865 is about 11631.7180588252. The cubic root of 135296865 is about 513.3685324245.

It can be divided in two parts, 135296 and 865, that added together give a square (136161 = 3692).

The spelling of 135296865 in words is "one hundred thirty-five million, two hundred ninety-six thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 1023 1395 1485 1705 2939 3069 4185 5115 8817 9207 14695 15345 26451 32329 44085 46035 79353 91109 96987 132255 161645 273327 290961 396765 455545 484935 819981 872883 1002199 1366635 1454805 2459943 3006597 4099905 4364415 5010995 9019791 12299715 15032985 27059373 45098955 135296865