137891538 has 16 divisors (see below), whose sum is σ = 306425760. Its totient is φ = 45963828.

The previous prime is 137891521. The next prime is 137891543. The reversal of 137891538 is 835198731.

137891538 is a `hidden beast` number, since 1 + 37 + 89 + 1 + 538 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137891493 and 137891502.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1276720 + ... + 1276827.

It is an arithmetic number, because the mean of its divisors is an integer number (19151610).

Almost surely, 2^137891538 is an apocalyptic number.

137891538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137891538 is an abundant number, since it is smaller than the sum of its proper divisors (168534222).

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

137891538 is a wasteful number, since it uses less digits than its factorization.

137891538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553558 (or 2553552 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 137891538 is about 11742.7227677400. The cubic root of 137891538 is about 516.6295048309.

The spelling of 137891538 in words is "one hundred thirty-seven million, eight hundred ninety-one thousand, five hundred thirty-eight".