138686431122 has 54 divisors (see below), whose sum is σ = 312124625319. Its totient is φ = 46214590500.

The previous prime is 138686431097. The next prime is 138686431139. The reversal of 138686431122 is 221134686831.

138686431122 is a `hidden beast` number, since 1 + 38 + 68 + 6 + 431 + 122 = 666.

138686431122 is digitally balanced in base 2, 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 only one way, i.e., 69343215561 + 69343215561 = 263331^2 + 263331^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=263331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42657997 + ... + 42661247.

Almost surely, 2^138686431122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138686431122

138686431122 is an abundant number, since it is smaller than the sum of its proper divisors (173438194197).

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

138686431122 is an frugal number, since it uses more digits than its factorization.

138686431122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 3256 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 138686431122 in words is "one hundred thirty-eight billion, six hundred eighty-six million, four hundred thirty-one thousand, one hundred twenty-two".