189549200 has 60 divisors (see below), whose sum is σ = 464036148. Its totient is φ = 74380800.

The previous prime is 189549193. The next prime is 189549209. The reversal of 189549200 is 2945981.

189549200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 541696 + 189007504 = 736^2 + 13748^2 .

It is not an unprimeable number, because it can be changed into a prime (189549209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16730 + ... + 25670.

Almost surely, 2^189549200 is an apocalyptic number.

189549200 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 189549200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232018074).

189549200 is an abundant number, since it is smaller than the sum of its proper divisors (274486948).

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

189549200 is a wasteful number, since it uses less digits than its factorization.

189549200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012 (or 9001 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 189549200 is about 13767.6868064319. The cubic root of 189549200 is about 574.4346806754.

The spelling of 189549200 in words is "one hundred eighty-nine million, five hundred forty-nine thousand, two hundred".