189745152 has 96 divisors (see below), whose sum is σ = 513021600. Its totient is φ = 62357504.

The previous prime is 189745151. The next prime is 189745163. The reversal of 189745152 is 251547981.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (189745151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546643 + ... + 546989.

It is an arithmetic number, because the mean of its divisors is an integer number (5343975).

Almost surely, 2^189745152 is an apocalyptic number.

189745152 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 189745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256510800).

189745152 is an abundant number, since it is smaller than the sum of its proper divisors (323276448).

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

189745152 is an equidigital number, since it uses as much as digits as its factorization.

189745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 441 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 189745152 is about 13774.8013415802. The cubic root of 189745152 is about 574.6325586914.

The spelling of 189745152 in words is "one hundred eighty-nine million, seven hundred forty-five thousand, one hundred fifty-two".