138727460928 has 672 divisors, whose sum is σ = 481012439040. Its totient is φ = 34999050240.

The previous prime is 138727460897. The next prime is 138727460933. The reversal of 138727460928 is 829064727831.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 95 ways as a sum of consecutive naturals, for example, 168562725 + ... + 168563547.

It is an arithmetic number, because the mean of its divisors is an integer number (715792320).

Almost surely, 2^138727460928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138727460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240506219520).

138727460928 is an abundant number, since it is smaller than the sum of its proper divisors (342284978112).

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

138727460928 is a wasteful number, since it uses less digits than its factorization.

138727460928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 138727460928 in words is "one hundred thirty-eight billion, seven hundred twenty-seven million, four hundred sixty thousand, nine hundred twenty-eight".