138114615456 has 96 divisors (see below), whose sum is σ = 415829030400. Its totient is φ = 44553093120.

The previous prime is 138114615451. The next prime is 138114615467. The reversal of 138114615456 is 654516411831.

138114615456 is a `hidden beast` number, since 1 + 38 + 1 + 14 + 61 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (138114615451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2551521 + ... + 2605088.

It is an arithmetic number, because the mean of its divisors is an integer number (4331552400).

Almost surely, 2^138114615456 is an apocalyptic number.

138114615456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138114615456 is an abundant number, since it is smaller than the sum of its proper divisors (277714414944).

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

138114615456 is a wasteful number, since it uses less digits than its factorization.

138114615456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156659 (or 5156645 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 138114615456 in words is "one hundred thirty-eight billion, one hundred fourteen million, six hundred fifteen thousand, four hundred fifty-six".