114182800 has 30 divisors (see below), whose sum is σ = 274325138. Its totient is φ = 45672960.

The previous prime is 114182797. The next prime is 114182819. The reversal of 114182800 is 8281411.

It can be written as a sum of positive squares in 3 ways, for example, as 13220496 + 100962304 = 3636^2 + 10048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142329 + ... + 143128.

Almost surely, 2^114182800 is an apocalyptic number.

114182800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114182800 is an abundant number, since it is smaller than the sum of its proper divisors (160142338).

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

114182800 is a wasteful number, since it uses less digits than its factorization.

114182800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285475 (or 285464 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 114182800 is about 10685.6352174309. The cubic root of 114182800 is about 485.1397903633.

The spelling of 114182800 in words is "one hundred fourteen million, one hundred eighty-two thousand, eight hundred".