138749835168 has 336 divisors, whose sum is σ = 473375327040. Its totient is φ = 39193279488.

The previous prime is 138749835143. The next prime is 138749835193. The reversal of 138749835168 is 861538947831.

138749835168 is a `hidden beast` number, since 1 + 3 + 87 + 498 + 3 + 5 + 1 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (138749835143) and next prime (138749835193).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14528571 + ... + 14538117.

It is an arithmetic number, because the mean of its divisors is an integer number (1408855140).

Almost surely, 2^138749835168 is an apocalyptic number.

138749835168 is a gapful number since it is divisible by the number (18) 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 138749835168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236687663520).

138749835168 is an abundant number, since it is smaller than the sum of its proper divisors (334625491872).

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

138749835168 is an frugal number, since it uses more digits than its factorization.

138749835168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9671 (or 9648 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 138749835168 in words is "one hundred thirty-eight billion, seven hundred forty-nine million, eight hundred thirty-five thousand, one hundred sixty-eight".