138762118656 has 800 divisors, whose sum is σ = 517915994112. Its totient is φ = 36070686720.

The previous prime is 138762118643. The next prime is 138762118669. The reversal of 138762118656 is 656811267831.

It is a happy number.

138762118656 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 621 + 1 + 8 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (138762118643) and next prime (138762118669).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152989755 + ... + 152990661.

Almost surely, 2^138762118656 is an apocalyptic number.

138762118656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138762118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258957997056).

138762118656 is an abundant number, since it is smaller than the sum of its proper divisors (379153875456).

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

138762118656 is an equidigital number, since it uses as much as digits as its factorization.

138762118656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 967 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 138762118656 in words is "one hundred thirty-eight billion, seven hundred sixty-two million, one hundred eighteen thousand, six hundred fifty-six".