138620304 has 120 divisors (see below), whose sum is σ = 404573312. Its totient is φ = 44271360.

The previous prime is 138620297. The next prime is 138620353. The reversal of 138620304 is 403026831.

It is a happy number.

138620304 is a `hidden beast` number, since 1 + 3 + 8 + 620 + 30 + 4 = 666.

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, 377529 + ... + 377895.

Almost surely, 2^138620304 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 138620304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202286656).

138620304 is an abundant number, since it is smaller than the sum of its proper divisors (265953008).

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

138620304 is a wasteful number, since it uses less digits than its factorization.

138620304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138620304 is about 11773.7124136782. The cubic root of 138620304 is about 517.5380466321.

The spelling of 138620304 in words is "one hundred thirty-eight million, six hundred twenty thousand, three hundred four".