138075118464 has 192 divisors, whose sum is σ = 392452099200. Its totient is φ = 43001241600.

The previous prime is 138075118459. The next prime is 138075118471. The reversal of 138075118464 is 464811570831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15421189 + ... + 15430139.

It is an arithmetic number, because the mean of its divisors is an integer number (2044021350).

Almost surely, 2^138075118464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138075118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196226049600).

138075118464 is an abundant number, since it is smaller than the sum of its proper divisors (254376980736).

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

138075118464 is a wasteful number, since it uses less digits than its factorization.

138075118464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 138075118464 in words is "one hundred thirty-eight billion, seventy-five million, one hundred eighteen thousand, four hundred sixty-four".