138515681376 has 36 divisors (see below), whose sum is σ = 393903969732. Its totient is φ = 46171893696.

The previous prime is 138515681357. The next prime is 138515681377. The reversal of 138515681376 is 673186515831.

It is a happy number.

138515681376 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 1 + 568 + 1 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138515681377) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240478326 + ... + 240478901.

It is an arithmetic number, because the mean of its divisors is an integer number (10941776937).

Almost surely, 2^138515681376 is an apocalyptic number.

138515681376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138515681376 is an abundant number, since it is smaller than the sum of its proper divisors (255388288356).

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

138515681376 is a wasteful number, since it uses less digits than its factorization.

138515681376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480957243 (or 480957232 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 138515681376 in words is "one hundred thirty-eight billion, five hundred fifteen million, six hundred eighty-one thousand, three hundred seventy-six".