137581968 has 40 divisors (see below), whose sum is σ = 366889216. Its totient is φ = 44380800.

The previous prime is 137581957. The next prime is 137581973. The reversal of 137581968 is 869185731.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 44743 + ... + 47718.

Almost surely, 2^137581968 is an apocalyptic number.

It is an amenable number.

137581968 is an abundant number, since it is smaller than the sum of its proper divisors (229307248).

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

137581968 is a wasteful number, since it uses less digits than its factorization.

137581968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92503 (or 92497 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 137581968 is about 11729.5340060891. The cubic root of 137581968 is about 516.2425997020.

The spelling of 137581968 in words is "one hundred thirty-seven million, five hundred eighty-one thousand, nine hundred sixty-eight".