157260831168 has 112 divisors (see below), whose sum is σ = 476382795264. Its totient is φ = 44850785280.

The previous prime is 157260831139. The next prime is 157260831187. The reversal of 157260831168 is 861138062751.

157260831168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 643573 + ... + 853643.

Almost surely, 2^157260831168 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 157260831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238191397632).

157260831168 is an abundant number, since it is smaller than the sum of its proper divisors (319121964096).

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

157260831168 is a wasteful number, since it uses less digits than its factorization.

157260831168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210650 (or 210640 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 157260831168 in words is "one hundred fifty-seven billion, two hundred sixty million, eight hundred thirty-one thousand, one hundred sixty-eight".