114825600 has 240 divisors, whose sum is σ = 424688220. Its totient is φ = 30551040.

The previous prime is 114825589. The next prime is 114825611. The reversal of 114825600 is 6528411.

114825600 is a `hidden beast` number, since 11 + 48 + 2 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (114825589) and next prime (114825611).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258979 + ... + 259421.

Almost surely, 2^114825600 is an apocalyptic number.

114825600 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 114825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212344110).

114825600 is an abundant number, since it is smaller than the sum of its proper divisors (309862620).

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

114825600 is an equidigital number, since it uses as much as digits as its factorization.

114825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114825600 is about 10715.6707676188. The cubic root of 114825600 is about 486.0484633884.

The spelling of 114825600 in words is "one hundred fourteen million, eight hundred twenty-five thousand, six hundred".