115385120 has 96 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 42643456.

The previous prime is 115385117. The next prime is 115385159. The reversal of 115385120 is 21583511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 115385120.

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, 160121 + ... + 160839.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^115385120 is an apocalyptic number.

115385120 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 115385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

115385120 is an abundant number, since it is smaller than the sum of its proper divisors (178547680).

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

115385120 is a wasteful number, since it uses less digits than its factorization.

115385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 115385120 is about 10741.7465991337. The cubic root of 115385120 is about 486.8366537813.

The spelling of 115385120 in words is "one hundred fifteen million, three hundred eighty-five thousand, one hundred twenty".