138090960 has 160 divisors (see below), whose sum is σ = 543655680. Its totient is φ = 31560192.

The previous prime is 138090959. The next prime is 138090971. The reversal of 138090960 is 69090831.

It is a super-2 number, since 2×138090960² = 38138226467443200, which contains 22 as substring.

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

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, 10554 + ... + 19686.

It is an arithmetic number, because the mean of its divisors is an integer number (3397848).

Almost surely, 2^138090960 is an apocalyptic number.

138090960 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 138090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271827840).

138090960 is an abundant number, since it is smaller than the sum of its proper divisors (405564720).

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

138090960 is a wasteful number, since it uses less digits than its factorization.

138090960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9150 counting only the distinct ones).

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

The square root of 138090960 is about 11751.2110014245. The cubic root of 138090960 is about 516.8784387966.

The spelling of 138090960 in words is "one hundred thirty-eight million, ninety thousand, nine hundred sixty".