114051600 has 180 divisors, whose sum is σ = 426411076. Its totient is φ = 28062720.

The previous prime is 114051599. The next prime is 114051607. The reversal of 114051600 is 6150411.

114051600 is a `hidden beast` number, since 1 + 14 + 0 + 51 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 501264 + 113550336 = 708^2 + 10656^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114051607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45582 + ... + 48018.

Almost surely, 2^114051600 is an apocalyptic number.

114051600 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 114051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213205538).

114051600 is an abundant number, since it is smaller than the sum of its proper divisors (312359476).

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

114051600 is a wasteful number, since it uses less digits than its factorization.

114051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114051600 is about 10679.4943700533. The cubic root of 114051600 is about 484.9539049968.

The spelling of 114051600 in words is "one hundred fourteen million, fifty-one thousand, six hundred".