138704928768 has 720 divisors, whose sum is σ = 490089465600. Its totient is φ = 39128334336.

The previous prime is 138704928707. The next prime is 138704928793. The reversal of 138704928768 is 867829407831.

138704928768 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 0 + 492 + 87 + 68 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1755758553 + ... + 1755758631.

Almost surely, 2^138704928768 is an apocalyptic number.

138704928768 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 138704928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245044732800).

138704928768 is an abundant number, since it is smaller than the sum of its proper divisors (351384536832).

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

138704928768 is an frugal number, since it uses more digits than its factorization.

138704928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 138704928768 in words is "one hundred thirty-eight billion, seven hundred four million, nine hundred twenty-eight thousand, seven hundred sixty-eight".