115652000 has 96 divisors (see below), whose sum is σ = 294250320. Its totient is φ = 44620800.

The previous prime is 115651967. The next prime is 115652039. The reversal of 115652000 is 256511.

It can be written as a sum of positive squares in 8 ways, for example, as 17007376 + 98644624 = 4124^2 + 9932^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 115502 + ... + 116498.

Almost surely, 2^115652000 is an apocalyptic number.

115652000 is a gapful number since it is divisible by the number (10) 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 115652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147125160).

115652000 is an abundant number, since it is smaller than the sum of its proper divisors (178598320).

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

115652000 is an equidigital number, since it uses as much as digits as its factorization.

115652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 115652000 is about 10754.1619850177. The cubic root of 115652000 is about 487.2117076969.

The spelling of 115652000 in words is "one hundred fifteen million, six hundred fifty-two thousand".