138312720 has 240 divisors, whose sum is σ = 571963392. Its totient is φ = 29168640.

The previous prime is 138312703. The next prime is 138312743. The reversal of 138312720 is 27213831.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64465 + ... + 66575.

Almost surely, 2^138312720 is an apocalyptic number.

138312720 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 138312720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285981696).

138312720 is an abundant number, since it is smaller than the sum of its proper divisors (433650672).

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

138312720 is a wasteful number, since it uses less digits than its factorization.

138312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138312720 is about 11760.6428395730. The cubic root of 138312720 is about 517.1549755075.

The spelling of 138312720 in words is "one hundred thirty-eight million, three hundred twelve thousand, seven hundred twenty".