138864096 has 72 divisors (see below), whose sum is σ = 451314864. Its totient is φ = 39674880.

The previous prime is 138864059. The next prime is 138864113. The reversal of 138864096 is 690468831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32425 + ... + 36456.

It is an arithmetic number, because the mean of its divisors is an integer number (6268262).

Almost surely, 2^138864096 is an apocalyptic number.

138864096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138864096 is an abundant number, since it is smaller than the sum of its proper divisors (312450768).

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

138864096 is a wasteful number, since it uses less digits than its factorization.

138864096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68904 (or 68893 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 138864096 is about 11784.0610996379. The cubic root of 138864096 is about 517.8412675838.

The spelling of 138864096 in words is "one hundred thirty-eight million, eight hundred sixty-four thousand, ninety-six".