114256800 has 216 divisors, whose sum is σ = 460658016. Its totient is φ = 26104320.

The previous prime is 114256789. The next prime is 114256811. The reversal of 114256800 is 8652411.

It is an interprime number because it is at equal distance from previous prime (114256789) and next prime (114256811).

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, 49267 + ... + 51533.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^114256800 is an apocalyptic number.

114256800 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 114256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008).

114256800 is an abundant number, since it is smaller than the sum of its proper divisors (346401216).

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

114256800 is a wasteful number, since it uses less digits than its factorization.

114256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2284 counting only the distinct ones).

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

The square root of 114256800 is about 10689.0972490665. The cubic root of 114256800 is about 485.2445714447.

It can be divided in two parts, 11425 and 6800, that added together give a square (18225 = 135²).

The spelling of 114256800 in words is "one hundred fourteen million, two hundred fifty-six thousand, eight hundred".