115845120 has 192 divisors, whose sum is σ = 412776000. Its totient is φ = 30818304.

The previous prime is 115845101. The next prime is 115845127. The reversal of 115845120 is 21548511.

115845120 is a `hidden beast` number, since 11 + 584 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115845127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276271 + ... + 276689.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^115845120 is an apocalyptic number.

115845120 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 115845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

115845120 is an abundant number, since it is smaller than the sum of its proper divisors (296930880).

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

115845120 is an equidigital number, since it uses as much as digits as its factorization.

115845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 115845120 is about 10763.1370891576. The cubic root of 115845120 is about 487.4827449514.

The spelling of 115845120 in words is "one hundred fifteen million, eight hundred forty-five thousand, one hundred twenty".