201157160 has 64 divisors (see below), whose sum is σ = 467856000. Its totient is φ = 77780736.

The previous prime is 201157127. The next prime is 201157163. The reversal of 201157160 is 61751102.

It is not an unprimeable number, because it can be changed into a prime (201157163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294179 + ... + 294861.

It is an arithmetic number, because the mean of its divisors is an integer number (7310250).

Almost surely, 2^201157160 is an apocalyptic number.

201157160 is a gapful number since it is divisible by the number (20) 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 201157160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233928000).

201157160 is an abundant number, since it is smaller than the sum of its proper divisors (266698840).

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

201157160 is a wasteful number, since it uses less digits than its factorization.

201157160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 201157160 is about 14182.9884016028. The cubic root of 201157160 is about 585.9292315538.

The spelling of 201157160 in words is "two hundred one million, one hundred fifty-seven thousand, one hundred sixty".