138459632688 has 160 divisors (see below), whose sum is σ = 429002542080. Its totient is φ = 42503374080.

The previous prime is 138459632677. The next prime is 138459632719. The reversal of 138459632688 is 886236954831.

It is a happy number.

138459632688 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 596 + 32 + 6 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391895 + ... + 2449097.

It is an arithmetic number, because the mean of its divisors is an integer number (2681265888).

Almost surely, 2^138459632688 is an apocalyptic number.

138459632688 is a gapful number since it is divisible by the number (18) 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 138459632688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214501271040).

138459632688 is an abundant number, since it is smaller than the sum of its proper divisors (290542909392).

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

138459632688 is a wasteful number, since it uses less digits than its factorization.

138459632688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57664 (or 57652 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 138459632688 in words is "one hundred thirty-eight billion, four hundred fifty-nine million, six hundred thirty-two thousand, six hundred eighty-eight".