225134728160 has 96 divisors (see below), whose sum is σ = 537169540320. Its totient is φ = 89159452672.

The previous prime is 225134728157. The next prime is 225134728177. The reversal of 225134728160 is 61827431522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42403586 + ... + 42408894.

It is an arithmetic number, because the mean of its divisors is an integer number (5595516045).

Almost surely, 2^225134728160 is an apocalyptic number.

225134728160 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 225134728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268584770160).

225134728160 is an abundant number, since it is smaller than the sum of its proper divisors (312034812160).

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

225134728160 is a wasteful number, since it uses less digits than its factorization.

225134728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 225134728160 in words is "two hundred twenty-five billion, one hundred thirty-four million, seven hundred twenty-eight thousand, one hundred sixty".