157000896 has 224 divisors, whose sum is σ = 516331200. Its totient is φ = 46448640.

The previous prime is 157000889. The next prime is 157000897. The reversal of 157000896 is 698000751.

157000896 is a `hidden beast` number, since 1 + 570 + 0 + 0 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157000896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157000897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651336 + ... + 651576.

It is an arithmetic number, because the mean of its divisors is an integer number (2305050).

Almost surely, 2^157000896 is an apocalyptic number.

157000896 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 157000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258165600).

157000896 is an abundant number, since it is smaller than the sum of its proper divisors (359330304).

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

157000896 is a wasteful number, since it uses less digits than its factorization.

157000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 157000896 is about 12529.9998403831. Note that the first 3 decimals coincide. The cubic root of 157000896 is about 539.4700974601.

The spelling of 157000896 in words is "one hundred fifty-seven million, eight hundred ninety-six", and thus it is an aban number.