138978104832 has 400 divisors, whose sum is σ = 489396390912. Its totient is φ = 38424637440.

The previous prime is 138978104827. The next prime is 138978104833. The reversal of 138978104832 is 238401879831.

It is a happy number.

138978104832 is a `hidden beast` number, since 1 + 3 + 89 + 7 + 81 + 0 + 483 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138978104833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8991703 + ... + 9007145.

Almost surely, 2^138978104832 is an apocalyptic number.

138978104832 is a gapful number since it is divisible by the number (12) 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 138978104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244698195456).

138978104832 is an abundant number, since it is smaller than the sum of its proper divisors (350418286080).

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

138978104832 is an equidigital number, since it uses as much as digits as its factorization.

138978104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15511 (or 15486 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 138978104832 in words is "one hundred thirty-eight billion, nine hundred seventy-eight million, one hundred four thousand, eight hundred thirty-two".