114535200 has 144 divisors (see below), whose sum is σ = 401599296. Its totient is φ = 28185600.

The previous prime is 114535199. The next prime is 114535207. The reversal of 114535200 is 2535411.

It is not an unprimeable number, because it can be changed into a prime (114535207) 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 23 ways as a sum of consecutive naturals, for example, 29365 + ... + 33035.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2^114535200 is an apocalyptic number.

114535200 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 114535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200799648).

114535200 is an abundant number, since it is smaller than the sum of its proper divisors (287064096).

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

114535200 is a wasteful number, since it uses less digits than its factorization.

114535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3694 counting only the distinct ones).

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

The square root of 114535200 is about 10702.1119411077. Note that the first 3 decimals coincide. The cubic root of 114535200 is about 485.6383700763.

It can be divided in two parts, 11453 and 5200, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 114535200 in words is "one hundred fourteen million, five hundred thirty-five thousand, two hundred".