189347200 has 192 divisors, whose sum is σ = 546393600. Its totient is φ = 63498240.

The previous prime is 189347183. The next prime is 189347209. The reversal of 189347200 is 2743981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189347209) 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 23 ways as a sum of consecutive naturals, for example, 1769547 + ... + 1769653.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2^189347200 is an apocalyptic number.

189347200 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 189347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273196800).

189347200 is an abundant number, since it is smaller than the sum of its proper divisors (357046400).

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

189347200 is a wasteful number, since it uses less digits than its factorization.

189347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 189347200 is about 13760.3488327876. The cubic root of 189347200 is about 574.2305524083.

The spelling of 189347200 in words is "one hundred eighty-nine million, three hundred forty-seven thousand, two hundred".