189573120 has 432 divisors, whose sum is σ = 764667540. Its totient is φ = 43253760.

The previous prime is 189573119. The next prime is 189573133. The reversal of 189573120 is 21375981.

189573120 is a `hidden beast` number, since 1 + 89 + 573 + 1 + 2 + 0 = 666.

189573120 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 2 ways, for example, as 188457984 + 1115136 = 13728^2 + 1056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11151352 + ... + 11151368.

Almost surely, 2^189573120 is an apocalyptic number.

189573120 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 189573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382333770).

189573120 is an abundant number, since it is smaller than the sum of its proper divisors (575094420).

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

189573120 is a wasteful number, since it uses less digits than its factorization.

189573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 189573120 is about 13768.5554797880. Note that the first 3 decimals coincide. The cubic root of 189573120 is about 574.4588430910.

The spelling of 189573120 in words is "one hundred eighty-nine million, five hundred seventy-three thousand, one hundred twenty".