198132 has 48 divisors (see below), whose sum is σ = 537600. Its totient is φ = 56160.

The previous prime is 198127. The next prime is 198139. The reversal of 198132 is 231891.

198132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×198132³ = 23333781408467904, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198132.

It is not an unprimeable number, because it can be changed into a prime (198139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2469 + ... + 2547.

It is an arithmetic number, because the mean of its divisors is an integer number (11200).

2¹⁹⁸¹³² is an apocalyptic number.

198132 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 198132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268800).

198132 is an abundant number, since it is smaller than the sum of its proper divisors (339468).

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

198132 is a wasteful number, since it uses less digits than its factorization.

198132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 198132 is about 445.1202084831. The cubic root of 198132 is about 58.2977161257.

The spelling of 198132 in words is "one hundred ninety-eight thousand, one hundred thirty-two".