114415200 has 144 divisors (see below), whose sum is σ = 413879760. Its totient is φ = 30504960.

The previous prime is 114415193. The next prime is 114415241. The reversal of 114415200 is 2514411.

114415200 is a `hidden beast` number, since 1 + 144 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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, 18952 + ... + 24248.

It is an arithmetic number, because the mean of its divisors is an integer number (2874165).

Almost surely, 2^114415200 is an apocalyptic number.

114415200 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 114415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206939880).

114415200 is an abundant number, since it is smaller than the sum of its proper divisors (299464560).

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

114415200 is a wasteful number, since it uses less digits than its factorization.

114415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114415200 is about 10696.5041018082. The cubic root of 114415200 is about 485.4687076242.

Adding to 114415200 its reverse (2514411), we get a palindrome (116929611).

It can be divided in two parts, 11441 and 5200, that added together give a square (16641 = 129²).

The spelling of 114415200 in words is "one hundred fourteen million, four hundred fifteen thousand, two hundred".