115506432 has 144 divisors (see below), whose sum is σ = 362033280. Its totient is φ = 36200448.

The previous prime is 115506427. The next prime is 115506463. The reversal of 115506432 is 234605511.

115506432 is a `hidden beast` number, since 1 + 15 + 5 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115506396 and 115506405.

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, 117013 + ... + 117995.

It is an arithmetic number, because the mean of its divisors is an integer number (2514120).

Almost surely, 2^115506432 is an apocalyptic number.

115506432 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 115506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181016640).

115506432 is an abundant number, since it is smaller than the sum of its proper divisors (246526848).

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

115506432 is an equidigital number, since it uses as much as digits as its factorization.

115506432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1005 counting only the distinct ones).

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

The square root of 115506432 is about 10747.3918696584. The cubic root of 115506432 is about 487.0072085364.

The spelling of 115506432 in words is "one hundred fifteen million, five hundred six thousand, four hundred thirty-two".