138074816922768 has 120 divisors (see below), whose sum is σ = 421759619629920. Its totient is φ = 41819710241280.

The previous prime is 138074816922737. The next prime is 138074816922773. The reversal of 138074816922768 is 867229618470831.

It is a happy number.

138074816922768 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 7 + 481 + 69 + 2 + 27 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 138074816922696 and 138074816922705.

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 23 ways as a sum of consecutive naturals, for example, 18888621 + ... + 25158092.

It is an arithmetic number, because the mean of its divisors is an integer number (3514663496916).

Almost surely, 2^{138074816922768} is an apocalyptic number.

138074816922768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138074816922768 is an abundant number, since it is smaller than the sum of its proper divisors (283684802707152).

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

138074816922768 is a wasteful number, since it uses less digits than its factorization.

138074816922768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44048717 (or 44048708 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 138074816922768 in words is "one hundred thirty-eight trillion, seventy-four billion, eight hundred sixteen million, nine hundred twenty-two thousand, seven hundred sixty-eight".