225144 has 48 divisors (see below), whose sum is σ = 631800. Its totient is φ = 72384.

The previous prime is 225143. The next prime is 225149. The reversal of 225144 is 441522.

225144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 225144.

It is not an unprimeable number, because it can be changed into a prime (225143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3787 + ... + 3845.

2²²⁵¹⁴⁴ is an apocalyptic number.

225144 is a gapful number since it is divisible by the number (24) 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 225144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315900).

225144 is an abundant number, since it is smaller than the sum of its proper divisors (406656).

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

225144 is a wasteful number, since it uses less digits than its factorization.

225144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

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

The square root of 225144 is about 474.4934140744. The cubic root of 225144 is about 60.8349925529.

Adding to 225144 its reverse (441522), we get a palindrome (666666).

It can be divided in two parts, 225 and 144, that multiplied together give a square (32400 = 180²).

The spelling of 225144 in words is "two hundred twenty-five thousand, one hundred forty-four".