138157088184 has 224 divisors, whose sum is σ = 401840663040. Its totient is φ = 44464334400.

The previous prime is 138157088171. The next prime is 138157088203. The reversal of 138157088184 is 481880751831.

138157088184 is a `hidden beast` number, since 1 + 381 + 5 + 7 + 0 + 88 + 184 = 666.

138157088184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138157088184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 142282819 + ... + 142283789.

Almost surely, 2^138157088184 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 138157088184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200920331520).

138157088184 is an abundant number, since it is smaller than the sum of its proper divisors (263683574856).

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

138157088184 is an equidigital number, since it uses as much as digits as its factorization.

138157088184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 138157088184 in words is "one hundred thirty-eight billion, one hundred fifty-seven million, eighty-eight thousand, one hundred eighty-four".