138361120 has 24 divisors (see below), whose sum is σ = 326878524. Its totient is φ = 55344384.

The previous prime is 138361109. The next prime is 138361127. The reversal of 138361120 is 21163831.

138361120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112105744 + 26255376 = 10588^2 + 5124^2 .

It is not an unprimeable number, because it can be changed into a prime (138361127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 432219 + ... + 432538.

Almost surely, 2^138361120 is an apocalyptic number.

138361120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138361120 is an abundant number, since it is smaller than the sum of its proper divisors (188517404).

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

138361120 is an equidigital number, since it uses as much as digits as its factorization.

138361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864772 (or 864764 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 138361120 is about 11762.7003702381. The cubic root of 138361120 is about 517.2152914393.

The spelling of 138361120 in words is "one hundred thirty-eight million, three hundred sixty-one thousand, one hundred twenty".