115113600 has 288 divisors, whose sum is σ = 470252640. Its totient is φ = 26265600.

The previous prime is 115113589. The next prime is 115113611. The reversal of 115113600 is 6311511.

115113600 is a `hidden beast` number, since 1 + 1 + 51 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (115113589) and next prime (115113611).

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

It is a super-2 number, since 2×115113600² = 26502281809920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201315 + ... + 201885.

Almost surely, 2^115113600 is an apocalyptic number.

115113600 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 115113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235126320).

115113600 is an abundant number, since it is smaller than the sum of its proper divisors (355139040).

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

115113600 is a wasteful number, since it uses less digits than its factorization.

115113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 115113600 is about 10729.1006146834. The cubic root of 115113600 is about 486.4544851823.

The spelling of 115113600 in words is "one hundred fifteen million, one hundred thirteen thousand, six hundred".