198144000 has 312 divisors, whose sum is σ = 730899312. Its totient is φ = 51609600.

The previous prime is 198143977. The next prime is 198144013. The reversal of 198144000 is 441891.

It is a super-3 number, since 3×198144000³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607979 + ... + 4608021.

It is an arithmetic number, because the mean of its divisors is an integer number (2342626).

Almost surely, 2^198144000 is an apocalyptic number.

198144000 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 198144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365449656).

198144000 is an abundant number, since it is smaller than the sum of its proper divisors (532755312).

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

198144000 is an equidigital number, since it uses as much as digits as its factorization.

198144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

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

The square root of 198144000 is about 14076.3631666706. The cubic root of 198144000 is about 582.9889304897.

Adding to 198144000 its reverse (441891), we get a palindrome (198585891).

The spelling of 198144000 in words is "one hundred ninety-eight million, one hundred forty-four thousand".