138688824832 has 80 divisors (see below), whose sum is σ = 283231872000. Its totient is φ = 67823585280.

The previous prime is 138688824809. The next prime is 138688824863. The reversal of 138688824832 is 238428886831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5999857 + ... + 6022927.

It is an arithmetic number, because the mean of its divisors is an integer number (3540398400).

Almost surely, 2^138688824832 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 138688824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141615936000).

138688824832 is an abundant number, since it is smaller than the sum of its proper divisors (144543047168).

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

138688824832 is an equidigital number, since it uses as much as digits as its factorization.

138688824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23347 (or 23331 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 61.

The spelling of 138688824832 in words is "one hundred thirty-eight billion, six hundred eighty-eight million, eight hundred twenty-four thousand, eight hundred thirty-two".