138918960 has 120 divisors (see below), whose sum is σ = 474334224. Its totient is φ = 36426240.

The previous prime is 138918953. The next prime is 138918971. The reversal of 138918960 is 69819831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42339 + ... + 45501.

Almost surely, 2^138918960 is an apocalyptic number.

138918960 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 138918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237167112).

138918960 is an abundant number, since it is smaller than the sum of its proper divisors (335415264).

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

138918960 is a wasteful number, since it uses less digits than its factorization.

138918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 138918960 is about 11786.3887599213. The cubic root of 138918960 is about 517.9094568022.

The spelling of 138918960 in words is "one hundred thirty-eight million, nine hundred eighteen thousand, nine hundred sixty".