138332872320 has 256 divisors, whose sum is σ = 455964871680. Its totient is φ = 35635691520.

The previous prime is 138332872319. The next prime is 138332872339. The reversal of 138332872320 is 23278233831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40293324 + ... + 40296756.

It is an arithmetic number, because the mean of its divisors is an integer number (1781112780).

Almost surely, 2^138332872320 is an apocalyptic number.

138332872320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138332872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227982435840).

138332872320 is an abundant number, since it is smaller than the sum of its proper divisors (317631999360).

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

138332872320 is a wasteful number, since it uses less digits than its factorization.

138332872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 138332872320 in words is "one hundred thirty-eight billion, three hundred thirty-two million, eight hundred seventy-two thousand, three hundred twenty".