189200 has 60 divisors (see below), whose sum is σ = 507408. Its totient is φ = 67200.

The previous prime is 189199. The next prime is 189223. The reversal of 189200 is 2981.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4379 + ... + 4421.

2¹⁸⁹²⁰⁰ is an apocalyptic number.

189200 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 189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253704).

189200 is an abundant number, since it is smaller than the sum of its proper divisors (318208).

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

189200 is a wasteful number, since it uses less digits than its factorization.

189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 189200 is about 434.9712634186. The cubic root of 189200 is about 57.4081710051.

It can be divided in two parts, 18 and 9200, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 189200 in words is "one hundred eighty-nine thousand, two hundred".