225138144 has 288 divisors, whose sum is σ = 792892800. Its totient is φ = 55157760.

The previous prime is 225138127. The next prime is 225138181. The reversal of 225138144 is 441831522.

225138144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983022 + ... + 983250.

It is an arithmetic number, because the mean of its divisors is an integer number (2753100).

Almost surely, 2^225138144 is an apocalyptic number.

225138144 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 225138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396446400).

225138144 is an abundant number, since it is smaller than the sum of its proper divisors (567754656).

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

225138144 is a wasteful number, since it uses less digits than its factorization.

225138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 225138144 is about 15004.6040934108. The cubic root of 225138144 is about 608.3446510853.

Adding to 225138144 its reverse (441831522), we get a palindrome (666969666).

The spelling of 225138144 in words is "two hundred twenty-five million, one hundred thirty-eight thousand, one hundred forty-four".