138779431752 has 128 divisors (see below), whose sum is σ = 377827632000. Its totient is φ = 42225131520.

The previous prime is 138779431741. The next prime is 138779431759. The reversal of 138779431752 is 257134977831.

It is a junction number, because it is equal to n+sod(n) for n = 138779431692 and 138779431701.

It is not an unprimeable number, because it can be changed into a prime (138779431759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10101624 + ... + 10115352.

It is an arithmetic number, because the mean of its divisors is an integer number (2951778375).

Almost surely, 2^138779431752 is an apocalyptic number.

138779431752 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 138779431752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188913816000).

138779431752 is an abundant number, since it is smaller than the sum of its proper divisors (239048200248).

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

138779431752 is a wasteful number, since it uses less digits than its factorization.

138779431752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14111 (or 14107 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 57.

The spelling of 138779431752 in words is "one hundred thirty-eight billion, seven hundred seventy-nine million, four hundred thirty-one thousand, seven hundred fifty-two".