138791729664 has 400 divisors, whose sum is σ = 501303325248. Its totient is φ = 37320818688.

The previous prime is 138791729591. The next prime is 138791729723. The reversal of 138791729664 is 466927197831.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4921107 + ... + 4949229.

Almost surely, 2^138791729664 is an apocalyptic number.

138791729664 is a gapful number since it is divisible by the number (14) 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 138791729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250651662624).

138791729664 is an abundant number, since it is smaller than the sum of its proper divisors (362511595584).

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

138791729664 is an equidigital number, since it uses as much as digits as its factorization.

138791729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28177 (or 28152 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 138791729664 in words is "one hundred thirty-eight billion, seven hundred ninety-one million, seven hundred twenty-nine thousand, six hundred sixty-four".