114143200 has 72 divisors (see below), whose sum is σ = 283341240. Its totient is φ = 44889600.

The previous prime is 114143191. The next prime is 114143201. The reversal of 114143200 is 2341411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114143201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47631 + ... + 49969.

It is an arithmetic number, because the mean of its divisors is an integer number (3935295).

Almost surely, 2^114143200 is an apocalyptic number.

114143200 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 114143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141670620).

114143200 is an abundant number, since it is smaller than the sum of its proper divisors (169198040).

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

114143200 is a wasteful number, since it uses less digits than its factorization.

114143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114143200 is about 10683.7821018589. The cubic root of 114143200 is about 485.0836997289.

Adding to 114143200 its reverse (2341411), we get a palindrome (116484611).

The spelling of 114143200 in words is "one hundred fourteen million, one hundred forty-three thousand, two hundred".