138628825584 has 80 divisors (see below), whose sum is σ = 366555800832. Its totient is φ = 45133991424.

The previous prime is 138628825571. The next prime is 138628825591. The reversal of 138628825584 is 485528826831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168859 + ... + 552965.

Almost surely, 2^138628825584 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 138628825584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183277900416).

138628825584 is an abundant number, since it is smaller than the sum of its proper divisors (227926975248).

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

138628825584 is a wasteful number, since it uses less digits than its factorization.

138628825584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384294 (or 384288 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 60.

The spelling of 138628825584 in words is "one hundred thirty-eight billion, six hundred twenty-eight million, eight hundred twenty-five thousand, five hundred eighty-four".