138310516032 has 224 divisors, whose sum is σ = 399764951040. Its totient is φ = 41948928000.

The previous prime is 138310516021. The next prime is 138310516051. The reversal of 138310516032 is 230615013831.

It is a junction number, because it is equal to n+sod(n) for n = 138310515984 and 138310516002.

It is a congruent 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, 61442907 + ... + 61445157.

It is an arithmetic number, because the mean of its divisors is an integer number (1784664960).

Almost surely, 2^138310516032 is an apocalyptic number.

138310516032 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 138310516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199882475520).

138310516032 is an abundant number, since it is smaller than the sum of its proper divisors (261454435008).

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

138310516032 is a wasteful number, since it uses less digits than its factorization.

138310516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 138310516032 its reverse (230615013831), we get a palindrome (368925529863).

The spelling of 138310516032 in words is "one hundred thirty-eight billion, three hundred ten million, five hundred sixteen thousand, thirty-two".