189125352 has 192 divisors, whose sum is σ = 584263680. Its totient is φ = 54867456.

The previous prime is 189125341. The next prime is 189125353. The reversal of 189125352 is 253521981.

189125352 is a `hidden beast` number, since 189 + 125 + 352 = 666.

189125352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (21600) is a multiple of the sum of its prime divisors (225).

It is not an unprimeable number, because it can be changed into a prime (189125353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489113 + ... + 1489239.

It is an arithmetic number, because the mean of its divisors is an integer number (3043040).

Almost surely, 2^189125352 is an apocalyptic number.

189125352 is a gapful number since it is divisible by the number (12) 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 189125352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292131840).

189125352 is an abundant number, since it is smaller than the sum of its proper divisors (395138328).

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

189125352 is a wasteful number, since it uses less digits than its factorization.

189125352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 189125352 is about 13752.2853373539. The cubic root of 189125352 is about 574.0061996765.

The spelling of 189125352 in words is "one hundred eighty-nine million, one hundred twenty-five thousand, three hundred fifty-two".