115132900 has 81 divisors (see below), whose sum is σ = 265932849. Its totient is φ = 43263360.

The previous prime is 115132877. The next prime is 115132903. The reversal of 115132900 is 9231511.

The square root of 115132900 is 10730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 21585316 + 93547584 = 4646^2 + 9672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115132903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3111682 + ... + 3111718.

Almost surely, 2^115132900 is an apocalyptic number.

115132900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115132900 is the 10730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115132900

115132900 is an abundant number, since it is smaller than the sum of its proper divisors (150799949).

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

115132900 is a wasteful number, since it uses less digits than its factorization.

115132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The cubic root of 115132900 is about 486.4816700585.

The spelling of 115132900 in words is "one hundred fifteen million, one hundred thirty-two thousand, nine hundred".