114139200 has 336 divisors, whose sum is σ = 443463680. Its totient is φ = 25159680.

The previous prime is 114139199. The next prime is 114139219. The reversal of 114139200 is 2931411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1444761 + ... + 1444839.

Almost surely, 2^114139200 is an apocalyptic number.

114139200 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 114139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221731840).

114139200 is an abundant number, since it is smaller than the sum of its proper divisors (329324480).

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

114139200 is a wasteful number, since it uses less digits than its factorization.

114139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 114139200 is about 10683.5949005941. The cubic root of 114139200 is about 485.0780332869.

The spelling of 114139200 in words is "one hundred fourteen million, one hundred thirty-nine thousand, two hundred".