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137668025 = 52111912621
BaseRepresentation
bin10000011010010…
…10010110111001
3100121001021000202
420031022112321
5240220334100
621354411545
73261105335
oct1015122671
9317037022
10137668025
117078a030
123a130bb5
13226a1a91
14143d87c5
15c1457d5
hex834a5b9

137668025 has 24 divisors (see below), whose sum is σ = 187273728. Its totient is φ = 99560000.

The previous prime is 137667991. The next prime is 137668039. The reversal of 137668025 is 520866731.

It is not a de Polignac number, because 137668025 - 218 = 137405881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137668025.

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 23 ways as a sum of consecutive naturals, for example, 51215 + ... + 53835.

It is an arithmetic number, because the mean of its divisors is an integer number (7803072).

Almost surely, 2137668025 is an apocalyptic number.

It is an amenable number.

137668025 is a deficient number, since it is larger than the sum of its proper divisors (49605703).

137668025 is a wasteful number, since it uses less digits than its factorization.

137668025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 137668025 is about 11733.2018221797. The cubic root of 137668025 is about 516.3502131983.

The spelling of 137668025 in words is "one hundred thirty-seven million, six hundred sixty-eight thousand, twenty-five".

Divisors: 1 5 11 25 55 191 275 955 2101 2621 4775 10505 13105 28831 52525 65525 144155 500611 720775 2503055 5506721 12515275 27533605 137668025