137874564 has 81 divisors (see below), whose sum is σ = 371430423. Its totient is φ = 43116624.

The previous prime is 137874557. The next prime is 137874619. The reversal of 137874564 is 465478731.

The square root of 137874564 is 11742.

It is a perfect power (a square), and thus also a powerful number.

137874564 is a `hidden beast` number, since 1 + 3 + 7 + 87 + 4 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1338537 + ... + 1338639.

Almost surely, 2^137874564 is an apocalyptic number.

137874564 is the 11742-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137874564

137874564 is an abundant number, since it is smaller than the sum of its proper divisors (233555859).

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

137874564 is a wasteful number, since it uses less digits than its factorization.

137874564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The cubic root of 137874564 is about 516.6083054903.

The spelling of 137874564 in words is "one hundred thirty-seven million, eight hundred seventy-four thousand, five hundred sixty-four".