138706725696 has 840 divisors, whose sum is σ = 503643290400. Its totient is φ = 33487534080.

The previous prime is 138706725667. The next prime is 138706725739. The reversal of 138706725696 is 696527607831.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 2617108006 + ... + 2617108058.

Almost surely, 2^138706725696 is an apocalyptic number.

138706725696 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 138706725696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251821645200).

138706725696 is an abundant number, since it is smaller than the sum of its proper divisors (364936564704).

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

138706725696 is an equidigital number, since it uses as much as digits as its factorization.

138706725696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 138706725696 in words is "one hundred thirty-eight billion, seven hundred six million, seven hundred twenty-five thousand, six hundred ninety-six".