138597360 has 160 divisors (see below), whose sum is σ = 479112192. Its totient is φ = 32855040.

The previous prime is 138597341. The next prime is 138597377. The reversal of 138597360 is 63795831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123522 + ... + 124638.

Almost surely, 2^138597360 is an apocalyptic number.

138597360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138597360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239556096).

138597360 is an abundant number, since it is smaller than the sum of its proper divisors (340514832).

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

138597360 is a wasteful number, since it uses less digits than its factorization.

138597360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 138597360 is about 11772.7379992931. The cubic root of 138597360 is about 517.5094912960.

The spelling of 138597360 in words is "one hundred thirty-eight million, five hundred ninety-seven thousand, three hundred sixty".