189152 has 24 divisors (see below), whose sum is σ = 390096. Its totient is φ = 90112.

The previous prime is 189151. The next prime is 189169. The reversal of 189152 is 251981.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 608 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (16254).

2¹⁸⁹¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195048).

189152 is an abundant number, since it is smaller than the sum of its proper divisors (200944).

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

189152 is a wasteful number, since it uses less digits than its factorization.

189152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 720, while the sum is 26.

The square root of 189152 is about 434.9160838599. The cubic root of 189152 is about 57.4033157809.

The spelling of 189152 in words is "one hundred eighty-nine thousand, one hundred fifty-two".