138696576 has 64 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 46016000.

The previous prime is 138696559. The next prime is 138696581. The reversal of 138696576 is 675696831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95665 + ... + 97103.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^138696576 is an apocalyptic number.

138696576 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 138696576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

138696576 is an abundant number, since it is smaller than the sum of its proper divisors (231441024).

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

138696576 is a wasteful number, since it uses less digits than its factorization.

138696576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1695 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 138696576 is about 11776.9510485524. The cubic root of 138696576 is about 517.6329495749.

The spelling of 138696576 in words is "one hundred thirty-eight million, six hundred ninety-six thousand, five hundred seventy-six".