138916799232 has 288 divisors, whose sum is σ = 388523520000. Its totient is φ = 44013404160.

The previous prime is 138916799179. The next prime is 138916799233. The reversal of 138916799232 is 232997619831.

It is not an unprimeable number, because it can be changed into a prime (138916799233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516419194 + ... + 516419462.

It is an arithmetic number, because the mean of its divisors is an integer number (1349040000).

Almost surely, 2^138916799232 is an apocalyptic number.

138916799232 is a gapful number since it is divisible by the number (12) 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 138916799232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194261760000).

138916799232 is an abundant number, since it is smaller than the sum of its proper divisors (249606720768).

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

138916799232 is a wasteful number, since it uses less digits than its factorization.

138916799232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 60.

The spelling of 138916799232 in words is "one hundred thirty-eight billion, nine hundred sixteen million, seven hundred ninety-nine thousand, two hundred thirty-two".