137937968 has 20 divisors (see below), whose sum is σ = 305434320. Its totient is φ = 59116224.

The previous prime is 137937913. The next prime is 137937971. The reversal of 137937968 is 869739731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 615683 + ... + 615906.

It is an arithmetic number, because the mean of its divisors is an integer number (15271716).

Almost surely, 2^137937968 is an apocalyptic number.

It is an amenable number.

137937968 is an abundant number, since it is smaller than the sum of its proper divisors (167496352).

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

137937968 is a wasteful number, since it uses less digits than its factorization.

137937968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231604 (or 1231598 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 53.

The square root of 137937968 is about 11744.6995704445. The cubic root of 137937968 is about 516.6874837722.

The spelling of 137937968 in words is "one hundred thirty-seven million, nine hundred thirty-seven thousand, nine hundred sixty-eight".