137187145165365 has 64 divisors (see below), whose sum is σ = 263662981881600. Its totient is φ = 67442215272192.

The previous prime is 137187145165351. The next prime is 137187145165417. The reversal of 137187145165365 is 563561541781731.

137187145165365 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 8 + 7 + 1 + 4 + 516 + 53 + 65 = 666.

It is not a de Polignac number, because 137187145165365 - 2¹⁴ = 137187145148981 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722665462 + ... + 722855271.

It is an arithmetic number, because the mean of its divisors is an integer number (4119734091900).

Almost surely, 2^{137187145165365} is an apocalyptic number.

137187145165365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137187145165365 is a deficient number, since it is larger than the sum of its proper divisors (126475836716235).

137187145165365 is a wasteful number, since it uses less digits than its factorization.

137187145165365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445520803 (or 1445520797 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 137187145165365 in words is "one hundred thirty-seven trillion, one hundred eighty-seven billion, one hundred forty-five million, one hundred sixty-five thousand, three hundred sixty-five".