114355200 has 132 divisors (see below), whose sum is σ = 378203720. Its totient is φ = 30474240.

The previous prime is 114355181. The next prime is 114355211. The reversal of 114355200 is 2553411.

It is a super-2 number, since 2×114355200² = 26154223534080000, which contains 22 as substring.

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, 76056 + ... + 77544.

Almost surely, 2^114355200 is an apocalyptic number.

114355200 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 114355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189101860).

114355200 is an abundant number, since it is smaller than the sum of its proper divisors (263848520).

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

114355200 is a wasteful number, since it uses less digits than its factorization.

114355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 114355200 is about 10693.6990793644. The cubic root of 114355200 is about 485.3838319095.

The spelling of 114355200 in words is "one hundred fourteen million, three hundred fifty-five thousand, two hundred".