138019632256 has 128 divisors (see below), whose sum is σ = 311470790400. Its totient is φ = 60344524800.

The previous prime is 138019632241. The next prime is 138019632277. The reversal of 138019632256 is 652236910831.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11059236 + ... + 11071708.

It is an arithmetic number, because the mean of its divisors is an integer number (2433365550).

Almost surely, 2^138019632256 is an apocalyptic number.

138019632256 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 138019632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155735395200).

138019632256 is an abundant number, since it is smaller than the sum of its proper divisors (173451158144).

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

138019632256 is a wasteful number, since it uses less digits than its factorization.

138019632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12798 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 138019632256 in words is "one hundred thirty-eight billion, nineteen million, six hundred thirty-two thousand, two hundred fifty-six".