138232126368 has 192 divisors, whose sum is σ = 485025408000. Its totient is φ = 37416183552.

The previous prime is 138232126343. The next prime is 138232126391. The reversal of 138232126368 is 863621232831.

138232126368 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 3 + 2 + 1 + 2 + 636 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486558 + ... + 716381.

It is an arithmetic number, because the mean of its divisors is an integer number (2526174000).

Almost surely, 2^138232126368 is an apocalyptic number.

138232126368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138232126368 is an abundant number, since it is smaller than the sum of its proper divisors (346793281632).

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

138232126368 is a wasteful number, since it uses less digits than its factorization.

138232126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202984 (or 1202970 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 138232126368 in words is "one hundred thirty-eight billion, two hundred thirty-two million, one hundred twenty-six thousand, three hundred sixty-eight".