102390766137 has 48 divisors (see below), whose sum is σ = 162382147200. Its totient is φ = 61656249600.

The previous prime is 102390766123. The next prime is 102390766139. The reversal of 102390766137 is 731667093201.

102390766137 is a `hidden beast` number, since 1 + 0 + 23 + 9 + 0 + 7 + 6 + 613 + 7 = 666.

It is not a de Polignac number, because 102390766137 - 2¹⁸ = 102390503993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102390766092 and 102390766101.

It is not an unprimeable number, because it can be changed into a prime (102390766139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15698437 + ... + 15704957.

It is an arithmetic number, because the mean of its divisors is an integer number (3382961400).

Almost surely, 2^102390766137 is an apocalyptic number.

It is an amenable number.

102390766137 is a deficient number, since it is larger than the sum of its proper divisors (59991381063).

102390766137 is a wasteful number, since it uses less digits than its factorization.

102390766137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 102390766137 in words is "one hundred two billion, three hundred ninety million, seven hundred sixty-six thousand, one hundred thirty-seven".