189115200 has 252 divisors, whose sum is σ = 702612768. Its totient is φ = 48153600.

The previous prime is 189115193. The next prime is 189115217. The reversal of 189115200 is 2511981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330915 + ... + 331485.

Almost surely, 2^189115200 is an apocalyptic number.

189115200 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 189115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351306384).

189115200 is an abundant number, since it is smaller than the sum of its proper divisors (513497568).

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

189115200 is a wasteful number, since it uses less digits than its factorization.

189115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 189115200 is about 13751.9162301114. The cubic root of 189115200 is about 573.9959288602.

The spelling of 189115200 in words is "one hundred eighty-nine million, one hundred fifteen thousand, two hundred".