138015504 has 135 divisors (see below), whose sum is σ = 429381589. Its totient is φ = 41352960.

The previous prime is 138015499. The next prime is 138015517. The reversal of 138015504 is 405510831.

The square root of 138015504 is 11748.

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

It can be written as a sum of positive squares in only one way, i.e., 26501904 + 111513600 = 5148^2 + 10560^2 .

It is a Duffinian number.

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, 1550692 + ... + 1550780.

Almost surely, 2^138015504 is an apocalyptic number.

138015504 is the 11748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138015504

138015504 is an abundant number, since it is smaller than the sum of its proper divisors (291366085).

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

138015504 is a wasteful number, since it uses less digits than its factorization.

138015504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 138015504 is about 516.7842769837.

The spelling of 138015504 in words is "one hundred thirty-eight million, fifteen thousand, five hundred four".