115456032 has 72 divisors (see below), whose sum is σ = 335999664. Its totient is φ = 37586304.

The previous prime is 115456013. The next prime is 115456037. The reversal of 115456032 is 230654511.

115456032 is a `hidden beast` number, since 1 + 1 + 54 + 5 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 115455987 and 115456005.

It is not an unprimeable number, because it can be changed into a prime (115456037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7723 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (4666662).

Almost surely, 2^115456032 is an apocalyptic number.

115456032 is a gapful number since it is divisible by the number (12) 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 115456032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167999832).

115456032 is an abundant number, since it is smaller than the sum of its proper divisors (220543632).

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

115456032 is a wasteful number, since it uses less digits than its factorization.

115456032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 115456032 is about 10745.0468589020. The cubic root of 115456032 is about 486.9363647638.

The spelling of 115456032 in words is "one hundred fifteen million, four hundred fifty-six thousand, thirty-two".