138100044960 has 384 divisors, whose sum is σ = 500716339200. Its totient is φ = 35512058880.

The previous prime is 138100044919. The next prime is 138100045019. The reversal of 138100044960 is 69440001831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41111761 + ... + 41115119.

It is an arithmetic number, because the mean of its divisors is an integer number (1303948800).

Almost surely, 2^138100044960 is an apocalyptic number.

138100044960 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 138100044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250358169600).

138100044960 is an abundant number, since it is smaller than the sum of its proper divisors (362616294240).

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

138100044960 is a wasteful number, since it uses less digits than its factorization.

138100044960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 138100044960 in words is "one hundred thirty-eight billion, one hundred million, forty-four thousand, nine hundred sixty".