138179536128 has 54 divisors (see below), whose sum is σ = 398405674394. Its totient is φ = 46059844608.

The previous prime is 138179536093. The next prime is 138179536129. The reversal of 138179536128 is 821635971831.

138179536128 is a `hidden beast` number, since 1 + 3 + 8 + 17 + 9 + 5 + 3 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134976881664 + 3202654464 = 367392^2 + 56592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138179536129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29984575 + ... + 29989182.

Almost surely, 2^138179536128 is an apocalyptic number.

138179536128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138179536128 is an abundant number, since it is smaller than the sum of its proper divisors (260226138266).

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

138179536128 is an equidigital number, since it uses as much as digits as its factorization.

138179536128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59973779 (or 59973762 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 138179536128 in words is "one hundred thirty-eight billion, one hundred seventy-nine million, five hundred thirty-six thousand, one hundred twenty-eight".