198144 has 60 divisors (see below), whose sum is σ = 585156. Its totient is φ = 64512.

The previous prime is 198139. The next prime is 198173. The reversal of 198144 is 441891.

It is a super-3 number, since 3×198144³ = 23338021344509952, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (1152) is a multiple of the sum of its prime divisors (48).

It is a zygodrome in base 2.

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 198144.

It is an unprimeable number.

198144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4587 + ... + 4629.

2¹⁹⁸¹⁴⁴ 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 198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292578).

198144 is an abundant number, since it is smaller than the sum of its proper divisors (387012).

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

198144 is an equidigital number, since it uses as much as digits as its factorization.

198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

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

The square root of 198144 is about 445.1336877838. The cubic root of 198144 is about 58.2988930490.

It can be divided in two parts, 1981 and 44, that added together give a square (2025 = 45²).

The spelling of 198144 in words is "one hundred ninety-eight thousand, one hundred forty-four".