157520160 has 192 divisors, whose sum is σ = 630201600. Its totient is φ = 35997696.

The previous prime is 157520159. The next prime is 157520161. The reversal of 157520160 is 61025751.

It is an interprime number because it is at equal distance from previous prime (157520159) and next prime (157520161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (157520161) 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, 27636 + ... + 32844.

It is an arithmetic number, because the mean of its divisors is an integer number (3282300).

Almost surely, 2^157520160 is an apocalyptic number.

157520160 is a gapful number since it is divisible by the number (10) 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 157520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315100800).

157520160 is an abundant number, since it is smaller than the sum of its proper divisors (472681440).

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

157520160 is a wasteful number, since it uses less digits than its factorization.

157520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 157520160 is about 12550.7035659361. The cubic root of 157520160 is about 540.0641899003.

The spelling of 157520160 in words is "one hundred fifty-seven million, five hundred twenty thousand, one hundred sixty".