138131749008 has 480 divisors, whose sum is σ = 450685440000. Its totient is φ = 40164284160.

The previous prime is 138131749003. The next prime is 138131749031. The reversal of 138131749008 is 800947131831.

138131749008 is a `hidden beast` number, since 138 + 13 + 17 + 490 + 0 + 8 = 666.

138131749008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138131749003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694129293 + ... + 694129491.

It is an arithmetic number, because the mean of its divisors is an integer number (938928000).

Almost surely, 2^138131749008 is an apocalyptic number.

138131749008 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 138131749008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225342720000).

138131749008 is an abundant number, since it is smaller than the sum of its proper divisors (312553690992).

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

138131749008 is a wasteful number, since it uses less digits than its factorization.

138131749008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 138131749008 in words is "one hundred thirty-eight billion, one hundred thirty-one million, seven hundred forty-nine thousand, eight".