138930048000 has 528 divisors, whose sum is σ = 507025130976. Its totient is φ = 36576460800.

The previous prime is 138930047947. The next prime is 138930048097. The reversal of 138930048000 is 840039831.

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 47 ways as a sum of consecutive naturals, for example, 95615274 + ... + 95616726.

Almost surely, 2^138930048000 is an apocalyptic number.

138930048000 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 138930048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253512565488).

138930048000 is an abundant number, since it is smaller than the sum of its proper divisors (368095082976).

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

138930048000 is a wasteful number, since it uses less digits than its factorization.

138930048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1546 counting only the distinct ones).

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

The spelling of 138930048000 in words is "one hundred thirty-eight billion, nine hundred thirty million, forty-eight thousand".