225135040 has 168 divisors, whose sum is σ = 609100128. Its totient is φ = 79073280.

The previous prime is 225135013. The next prime is 225135061. The reversal of 225135040 is 40531522.

225135040 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243750 + ... + 1243930.

It is an arithmetic number, because the mean of its divisors is an integer number (3625596).

Almost surely, 2^225135040 is an apocalyptic number.

225135040 is a gapful number since it is divisible by the number (20) 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 225135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304550064).

225135040 is an abundant number, since it is smaller than the sum of its proper divisors (383965088).

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

225135040 is a wasteful number, since it uses less digits than its factorization.

225135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 225135040 is about 15004.5006581359. The cubic root of 225135040 is about 608.3418553048.

Adding to 225135040 its reverse (40531522), we get a palindrome (265666562).

The spelling of 225135040 in words is "two hundred twenty-five million, one hundred thirty-five thousand, forty".