138880369584 has 400 divisors, whose sum is σ = 463803648000. Its totient is φ = 39678128640.

The previous prime is 138880369531. The next prime is 138880369633. The reversal of 138880369584 is 485963088831.

138880369584 is a `hidden beast` number, since 13 + 8 + 8 + 8 + 0 + 36 + 9 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62026737 + ... + 62028975.

It is an arithmetic number, because the mean of its divisors is an integer number (1159509120).

Almost surely, 2^138880369584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138880369584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231901824000).

138880369584 is an abundant number, since it is smaller than the sum of its proper divisors (324923278416).

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

138880369584 is a wasteful number, since it uses less digits than its factorization.

138880369584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 138880369584 in words is "one hundred thirty-eight billion, eight hundred eighty million, three hundred sixty-nine thousand, five hundred eighty-four".