115200225 has 144 divisors (see below), whose sum is σ = 255013440. Its totient is φ = 51438240.

The previous prime is 115200193. The next prime is 115200227. The reversal of 115200225 is 522002511.

It is not a de Polignac number, because 115200225 - 2⁵ = 115200193 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 115200198 and 115200207.

It is not an unprimeable number, because it can be changed into a prime (115200227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2679054 + ... + 2679096.

Almost surely, 2^115200225 is an apocalyptic number.

115200225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115200225 is an abundant number, since it is smaller than the sum of its proper divisors (139813215).

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

115200225 is an frugal number, since it uses more digits than its factorization.

115200225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 115200225 is about 10733.1367735625. The cubic root of 115200225 is about 486.5764764270.

Adding to 115200225 its reverse (522002511), we get a palindrome (637202736).

The spelling of 115200225 in words is "one hundred fifteen million, two hundred thousand, two hundred twenty-five".