114525200 has 60 divisors (see below), whose sum is σ = 278324820. Its totient is φ = 45281280.

The previous prime is 114525197. The next prime is 114525221. The reversal of 114525200 is 2525411.

It can be written as a sum of positive squares in 6 ways, for example, as 633616 + 113891584 = 796^2 + 10672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33992 + ... + 37208.

It is an arithmetic number, because the mean of its divisors is an integer number (4638747).

Almost surely, 2^114525200 is an apocalyptic number.

114525200 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 114525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139162410).

114525200 is an abundant number, since it is smaller than the sum of its proper divisors (163799620).

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

114525200 is a wasteful number, since it uses less digits than its factorization.

114525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 114525200 is about 10701.6447334043. The cubic root of 114525200 is about 485.6242360661.

The spelling of 114525200 in words is "one hundred fourteen million, five hundred twenty-five thousand, two hundred".