138715680 has 48 divisors (see below), whose sum is σ = 436955904. Its totient is φ = 36990720.

The previous prime is 138715657. The next prime is 138715693. The reversal of 138715680 is 86517831.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144016 + ... + 144975.

It is an arithmetic number, because the mean of its divisors is an integer number (9103248).

Almost surely, 2^138715680 is an apocalyptic number.

138715680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138715680 is an abundant number, since it is smaller than the sum of its proper divisors (298240224).

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

138715680 is a wasteful number, since it uses less digits than its factorization.

138715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289009 (or 289001 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 138715680 is about 11777.7620964256. The cubic root of 138715680 is about 517.6567146554.

The spelling of 138715680 in words is "one hundred thirty-eight million, seven hundred fifteen thousand, six hundred eighty".