45144 has 64 divisors (see below), whose sum is σ = 144000. Its totient is φ = 12960.

The previous prime is 45139. The next prime is 45161. The reversal of 45144 is 44154.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 45144.

It is an unprimeable number.

45144 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 15 ways as a sum of consecutive naturals, for example, 2367 + ... + 2385.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

2⁴⁵¹⁴⁴ is an apocalyptic number.

45144 is a gapful number since it is divisible by the number (44) 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 45144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72000).

45144 is an abundant number, since it is smaller than the sum of its proper divisors (98856).

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

45144 is a wasteful number, since it uses less digits than its factorization.

45144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 35 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 45144 is about 212.4711745155. The cubic root of 45144 is about 35.6068328424.

Adding to 45144 its reverse (44154), we get a palindrome (89298).

Subtracting from 45144 its reverse (44154), we obtain a triangular number (990 = T₄₄).

The spelling of 45144 in words is "forty-five thousand, one hundred forty-four".