115333920 has 288 divisors, whose sum is σ = 435065904. Its totient is φ = 27648000.

The previous prime is 115333913. The next prime is 115333931. The reversal of 115333920 is 29333511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27499536 + 87834384 = 5244^2 + 9372^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141870 + ... + 1141970.

Almost surely, 2^115333920 is an apocalyptic number.

115333920 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 115333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217532952).

115333920 is an abundant number, since it is smaller than the sum of its proper divisors (319731984).

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

115333920 is a wasteful number, since it uses less digits than its factorization.

115333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 115333920 is about 10739.3631096076. The cubic root of 115333920 is about 486.7646348924.

The spelling of 115333920 in words is "one hundred fifteen million, three hundred thirty-three thousand, nine hundred twenty".