157559238144 has 1080 divisors, whose sum is σ = 596852736480. Its totient is φ = 39852933120.

The previous prime is 157559238131. The next prime is 157559238163. The reversal of 157559238144 is 441832955751.

157559238144 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 592 + 3 + 8 + 1 + 44 = 666.

157559238144 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (6048000) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1994420697 + ... + 1994420775.

Almost surely, 2^157559238144 is an apocalyptic number.

157559238144 is a gapful number since it is divisible by the number (14) 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 157559238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298426368240).

157559238144 is an abundant number, since it is smaller than the sum of its proper divisors (439293498336).

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

157559238144 is a wasteful number, since it uses less digits than its factorization.

157559238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 157559238144 in words is "one hundred fifty-seven billion, five hundred fifty-nine million, two hundred thirty-eight thousand, one hundred forty-four".