115129760 has 48 divisors (see below), whose sum is σ = 275747976. Its totient is φ = 45416448.

The previous prime is 115129733. The next prime is 115129769. The reversal of 115129760 is 67921511.

It can be written as a sum of positive squares in 4 ways, for example, as 89038096 + 26091664 = 9436^2 + 5108^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (115129769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6752 + ... + 16608.

Almost surely, 2^115129760 is an apocalyptic number.

115129760 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 115129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137873988).

115129760 is an abundant number, since it is smaller than the sum of its proper divisors (160618216).

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

115129760 is an equidigital number, since it uses as much as digits as its factorization.

115129760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 115129760 is about 10729.8536802698. The cubic root of 115129760 is about 486.4772474410.

The spelling of 115129760 in words is "one hundred fifteen million, one hundred twenty-nine thousand, seven hundred sixty".