45198 has 28 divisors (see below), whose sum is σ = 104928. Its totient is φ = 14580.

The previous prime is 45197. The next prime is 45233. The reversal of 45198 is 89154.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime divisors (36).

It is a Curzon number.

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 45198.

It is not an unprimeable number, because it can be changed into a prime (45191) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 1443 + ... + 1473.

2⁴⁵¹⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52464).

45198 is an abundant number, since it is smaller than the sum of its proper divisors (59730).

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

45198 is an equidigital number, since it uses as much as digits as its factorization.

45198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 36 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 45198 is about 212.5982125983. The cubic root of 45198 is about 35.6210244871.

Subtracting 45198 from its reverse (89154), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 45 and 198, that added together give a 5-th power (243 = 3⁵).

The spelling of 45198 in words is "forty-five thousand, one hundred ninety-eight".