115312000 has 64 divisors (see below), whose sum is σ = 286734240. Its totient is φ = 46118400.

The previous prime is 115311991. The next prime is 115312013. The reversal of 115312000 is 213511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 3.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12397 + ... + 19603.

Almost surely, 2^115312000 is an apocalyptic number.

115312000 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 115312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143367120).

115312000 is an abundant number, since it is smaller than the sum of its proper divisors (171422240).

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

115312000 is an frugal number, since it uses more digits than its factorization.

115312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 115312000 is about 10738.3425164222. The cubic root of 115312000 is about 486.7337952897.

Adding to 115312000 its reverse (213511), we get a palindrome (115525511).

It can be divided in two parts, 11531 and 2000, that added together give a palindrome (13531).

The spelling of 115312000 in words is "one hundred fifteen million, three hundred twelve thousand".