138930624 has 84 divisors (see below), whose sum is σ = 455121264. Its totient is φ = 39693312.

The previous prime is 138930593. The next prime is 138930697. The reversal of 138930624 is 426039831.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13197 + ... + 21260.

Almost surely, 2^138930624 is an apocalyptic number.

138930624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138930624 is an abundant number, since it is smaller than the sum of its proper divisors (316190640).

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

138930624 is a wasteful number, since it uses less digits than its factorization.

138930624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34482 (or 34469 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 138930624 is about 11786.8835575821. The cubic root of 138930624 is about 517.9239514083.

The spelling of 138930624 in words is "one hundred thirty-eight million, nine hundred thirty thousand, six hundred twenty-four".