138706920 has 96 divisors (see below), whose sum is σ = 491793120. Its totient is φ = 33624960.

The previous prime is 138706901. The next prime is 138706937. The reversal of 138706920 is 29607831.

138706920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 13554 + ... + 21473.

It is an arithmetic number, because the mean of its divisors is an integer number (5122845).

Almost surely, 2^138706920 is an apocalyptic number.

138706920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138706920 is an abundant number, since it is smaller than the sum of its proper divisors (353086200).

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

138706920 is a wasteful number, since it uses less digits than its factorization.

138706920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35055 (or 35048 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 138706920 is about 11777.3902032666. The cubic root of 138706920 is about 517.6458176218.

The spelling of 138706920 in words is "one hundred thirty-eight million, seven hundred six thousand, nine hundred twenty".