114192800 has 72 divisors (see below), whose sum is σ = 280255500. Its totient is φ = 45434880.

The previous prime is 114192781. The next prime is 114192803. The reversal of 114192800 is 8291411.

It can be written as a sum of positive squares in 6 ways, for example, as 81793936 + 32398864 = 9044^2 + 5692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114192800.

It is not an unprimeable number, because it can be changed into a prime (114192803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278996 + ... + 279404.

Almost surely, 2^114192800 is an apocalyptic number.

114192800 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 114192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140127750).

114192800 is an abundant number, since it is smaller than the sum of its proper divisors (166062700).

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

114192800 is a wasteful number, since it uses less digits than its factorization.

114192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 114192800 is about 10686.1031250873. The cubic root of 114192800 is about 485.1539526139.

The spelling of 114192800 in words is "one hundred fourteen million, one hundred ninety-two thousand, eight hundred".