189144 has 48 divisors (see below), whose sum is σ = 533520. Its totient is φ = 60480.

The previous prime is 189139. The next prime is 189149. The reversal of 189144 is 441981.

189144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189139) and next prime (189149).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2629 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2¹⁸⁹¹⁴⁴ 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 189144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266760).

189144 is an abundant number, since it is smaller than the sum of its proper divisors (344376).

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

189144 is a wasteful number, since it uses less digits than its factorization.

189144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 189144 is about 434.9068865861. The cubic root of 189144 is about 57.4025064970.

It can be divided in two parts, 189 and 144, that added together give a palindrome (333).

The spelling of 189144 in words is "one hundred eighty-nine thousand, one hundred forty-four".