138375264 has 96 divisors (see below), whose sum is σ = 376911360. Its totient is φ = 44416512.

The previous prime is 138375239. The next prime is 138375283. The reversal of 138375264 is 462573831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578857 + ... + 579095.

It is an arithmetic number, because the mean of its divisors is an integer number (3926160).

Almost surely, 2^138375264 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 138375264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188455680).

138375264 is an abundant number, since it is smaller than the sum of its proper divisors (238536096).

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

138375264 is a wasteful number, since it uses less digits than its factorization.

138375264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 138375264 is about 11763.3015773634. The cubic root of 138375264 is about 517.2329149928.

The spelling of 138375264 in words is "one hundred thirty-eight million, three hundred seventy-five thousand, two hundred sixty-four".