138900960 has 384 divisors, whose sum is σ = 551577600. Its totient is φ = 32348160.

The previous prime is 138900947. The next prime is 138900961. The reversal of 138900960 is 69009831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138900961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1758201 + ... + 1758279.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^138900960 is an apocalyptic number.

138900960 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 138900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

138900960 is an abundant number, since it is smaller than the sum of its proper divisors (412676640).

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

138900960 is a wasteful number, since it uses less digits than its factorization.

138900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 138900960 is about 11785.6251425200. The cubic root of 138900960 is about 517.8870869905.

The spelling of 138900960 in words is "one hundred thirty-eight million, nine hundred thousand, nine hundred sixty".