138792253968 has 120 divisors (see below), whose sum is σ = 422968166400. Its totient is φ = 42317759232.

The previous prime is 138792253931. The next prime is 138792253981. The reversal of 138792253968 is 869352297831.

138792253968 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 92 + 2 + 539 + 6 + 8 = 666.

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, 795280 + ... + 953967.

It is an arithmetic number, because the mean of its divisors is an integer number (3524734720).

Almost surely, 2^138792253968 is an apocalyptic number.

138792253968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138792253968 is an abundant number, since it is smaller than the sum of its proper divisors (284175912432).

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

138792253968 is a wasteful number, since it uses less digits than its factorization.

138792253968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749309 (or 1749300 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 138792253968 in words is "one hundred thirty-eight billion, seven hundred ninety-two million, two hundred fifty-three thousand, nine hundred sixty-eight".