114159600 has 180 divisors, whose sum is σ = 417266200. Its totient is φ = 28823040.

The previous prime is 114159599. The next prime is 114159601. The reversal of 114159600 is 6951411.

114159600 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 59 + 600 = 666.

114159600 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (114159599) and next prime (114159601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114159601) 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, 67566 + ... + 69234.

Almost surely, 2^114159600 is an apocalyptic number.

114159600 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 114159600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208633100).

114159600 is an abundant number, since it is smaller than the sum of its proper divisors (303106600).

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

114159600 is a wasteful number, since it uses less digits than its factorization.

114159600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 114159600 is about 10684.5495927531. The cubic root of 114159600 is about 485.1069307571.

The spelling of 114159600 in words is "one hundred fourteen million, one hundred fifty-nine thousand, six hundred".