138313568120 has 288 divisors, whose sum is σ = 412654532400. Its totient is φ = 41468184576.

The previous prime is 138313568087. The next prime is 138313568143. The reversal of 138313568120 is 21865313831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6282572 + ... + 6304548.

Almost surely, 2^138313568120 is an apocalyptic number.

138313568120 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 138313568120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206327266200).

138313568120 is an abundant number, since it is smaller than the sum of its proper divisors (274340964280).

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

138313568120 is a wasteful number, since it uses less digits than its factorization.

138313568120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22047 (or 22023 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 138313568120 in words is "one hundred thirty-eight billion, three hundred thirteen million, five hundred sixty-eight thousand, one hundred twenty".