189000 has 128 divisors (see below), whose sum is σ = 748800. Its totient is φ = 43200.

The previous prime is 188999. The next prime is 189011. The reversal of 189000 is 981.

189000 = 6³ + 7³ + ... + 29³.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26997 + ... + 27003.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2¹⁸⁹⁰⁰⁰ is an apocalyptic number.

189000 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 189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374400).

189000 is an abundant number, since it is smaller than the sum of its proper divisors (559800).

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

189000 is a wasteful number, since it uses less digits than its factorization.

189000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 189000 is about 434.7413023857. The cubic root of 189000 is about 57.3879354832.

Adding to 189000 its reverse (981), we get a palindrome (189981).

The spelling of 189000 in words is "one hundred eighty-nine thousand".