189116160 has 144 divisors (see below), whose sum is σ = 639739296. Its totient is φ = 47448064.

The previous prime is 189116141. The next prime is 189116171. The reversal of 189116160 is 61611981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63832 + ... + 66728.

It is an arithmetic number, because the mean of its divisors is an integer number (4442634).

Almost surely, 2^189116160 is an apocalyptic number.

189116160 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 189116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319869648).

189116160 is an abundant number, since it is smaller than the sum of its proper divisors (450623136).

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

189116160 is a wasteful number, since it uses less digits than its factorization.

189116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 189116160 is about 13751.9511342936. The cubic root of 189116160 is about 573.9969001115.

The spelling of 189116160 in words is "one hundred eighty-nine million, one hundred sixteen thousand, one hundred sixty".