189140 has 36 divisors (see below), whose sum is σ = 464436. Its totient is φ = 64512.

The previous prime is 189139. The next prime is 189149. The reversal of 189140 is 41981.

189140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 132496 = 238^2 + 364^2 .

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, 884 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (12901).

2¹⁸⁹¹⁴⁰ is an apocalyptic number.

189140 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 189140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232218).

189140 is an abundant number, since it is smaller than the sum of its proper divisors (275296).

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

189140 is a wasteful number, since it uses less digits than its factorization.

189140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 189140 is about 434.9022878763. The cubic root of 189140 is about 57.4021018465.

The spelling of 189140 in words is "one hundred eighty-nine thousand, one hundred forty".