138760512256 has 72 divisors (see below), whose sum is σ = 281729016800. Its totient is φ = 68192133120.

The previous prime is 138760512239. The next prime is 138760512277. The reversal of 138760512256 is 652215067831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29340100 + ... + 29344828.

Almost surely, 2^138760512256 is an apocalyptic number.

138760512256 is a gapful number since it is divisible by the number (16) 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 138760512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140864508400).

138760512256 is an abundant number, since it is smaller than the sum of its proper divisors (142968504544).

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

138760512256 is an equidigital number, since it uses as much as digits as its factorization.

138760512256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 138760512256 in words is "one hundred thirty-eight billion, seven hundred sixty million, five hundred twelve thousand, two hundred fifty-six".