138082112178768 has 60 divisors (see below), whose sum is σ = 388096666244820. Its totient is φ = 45829828351488.

The previous prime is 138082112178713. The next prime is 138082112178781. The reversal of 138082112178768 is 867871211280831.

138082112178768 is a `hidden beast` number, since 1 + 380 + 8 + 2 + 1 + 12 + 178 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38427253856784 + 99654858321984 = 6198972^2 + 9982728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2057699403 + ... + 2057766506.

It is an arithmetic number, because the mean of its divisors is an integer number (6468277770747).

Almost surely, 2^{138082112178768} is an apocalyptic number.

138082112178768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138082112178768 is an abundant number, since it is smaller than the sum of its proper divisors (250014554066052).

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

138082112178768 is a wasteful number, since it uses less digits than its factorization.

138082112178768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115466156 (or 4115466147 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 138082112178768 in words is "one hundred thirty-eight trillion, eighty-two billion, one hundred twelve million, one hundred seventy-eight thousand, seven hundred sixty-eight".