114259800 has 96 divisors (see below), whose sum is σ = 365690880. Its totient is φ = 29481600.

The previous prime is 114259793. The next prime is 114259801. The reversal of 114259800 is 8952411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114259801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15529 + ... + 21671.

It is an arithmetic number, because the mean of its divisors is an integer number (3809280).

Almost surely, 2^114259800 is an apocalyptic number.

114259800 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 114259800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182845440).

114259800 is an abundant number, since it is smaller than the sum of its proper divisors (251431080).

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

114259800 is a wasteful number, since it uses less digits than its factorization.

114259800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 114259800 is about 10689.2375780502. The cubic root of 114259800 is about 485.2488183721.

The spelling of 114259800 in words is "one hundred fourteen million, two hundred fifty-nine thousand, eight hundred".