137412864 has 216 divisors, whose sum is σ = 432592160. Its totient is φ = 41803776.

The previous prime is 137412851. The next prime is 137412871. The reversal of 137412864 is 468214731.

137412864 is a `hidden beast` number, since 1 + 374 + 1 + 286 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1882332 + ... + 1882404.

Almost surely, 2^137412864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216296080).

137412864 is an abundant number, since it is smaller than the sum of its proper divisors (295179296).

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

137412864 is a wasteful number, since it uses less digits than its factorization.

137412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 137412864 is about 11722.3233192060. The cubic root of 137412864 is about 516.0310058888.

The spelling of 137412864 in words is "one hundred thirty-seven million, four hundred twelve thousand, eight hundred sixty-four".