157646160 has 240 divisors, whose sum is σ = 625198080. Its totient is φ = 34836480.

The previous prime is 157646147. The next prime is 157646161. The reversal of 157646160 is 61646751.

157646160 is a `hidden beast` number, since 1 + 5 + 7 + 646 + 1 + 6 + 0 = 666.

157646160 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 (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157646161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155736 + ... + 156744.

It is an arithmetic number, because the mean of its divisors is an integer number (2604992).

Almost surely, 2^157646160 is an apocalyptic number.

157646160 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 157646160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312599040).

157646160 is an abundant number, since it is smaller than the sum of its proper divisors (467551920).

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

157646160 is a wasteful number, since it uses less digits than its factorization.

157646160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157646160 is about 12555.7222014506. The cubic root of 157646160 is about 540.2081502081.

The spelling of 157646160 in words is "one hundred fifty-seven million, six hundred forty-six thousand, one hundred sixty".