157000096 has 48 divisors (see below), whose sum is σ = 339087168. Its totient is φ = 70963200.

The previous prime is 157000091. The next prime is 157000127. The reversal of 157000096 is 690000751.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (157000091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66781 + ... + 69091.

It is an arithmetic number, because the mean of its divisors is an integer number (7064316).

Almost surely, 2^157000096 is an apocalyptic number.

157000096 is a gapful number since it is divisible by the number (16) 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 157000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169543584).

157000096 is an abundant number, since it is smaller than the sum of its proper divisors (182087072).

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

157000096 is a wasteful number, since it uses less digits than its factorization.

157000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 157000096 is about 12529.9679169581. The cubic root of 157000096 is about 539.4691811664.

The spelling of 157000096 in words is "one hundred fifty-seven million, ninety-six", and thus it is an aban number.