114307200 has 504 divisors, whose sum is σ = 492489405. Its totient is φ = 26127360.

The previous prime is 114307189. The next prime is 114307213. The reversal of 114307200 is 2703411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 2286144 = 10584^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7560.

It is a super-2 number, since 2×114307200² = 26132271943680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16329597 + ... + 16329603.

Almost surely, 2^114307200 is an apocalyptic number.

114307200 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 114307200

114307200 is an abundant number, since it is smaller than the sum of its proper divisors (378182205).

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

114307200 is an frugal number, since it uses more digits than its factorization.

114307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 114307200 is about 10691.4545315406. The cubic root of 114307200 is about 485.3159099597.

Multiplying 114307200 by its sum of digits (18), we get a square (2057529600 = 45360²).

114307200 divided by its sum of digits (18) gives a square (6350400 = 2520²).

The spelling of 114307200 in words is "one hundred fourteen million, three hundred seven thousand, two hundred".