114139584 has 112 divisors (see below), whose sum is σ = 361431840. Its totient is φ = 35112960.

The previous prime is 114139577. The next prime is 114139589. The reversal of 114139584 is 485931411.

114139584 is a `hidden beast` number, since 1 + 1 + 41 + 39 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114139589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19924 + ... + 25004.

It is an arithmetic number, because the mean of its divisors is an integer number (3227070).

Almost surely, 2^114139584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180715920).

114139584 is an abundant number, since it is smaller than the sum of its proper divisors (247292256).

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

114139584 is a wasteful number, since it uses less digits than its factorization.

114139584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5099 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 114139584 is about 10683.6128720578. The cubic root of 114139584 is about 485.0785772711.

The spelling of 114139584 in words is "one hundred fourteen million, one hundred thirty-nine thousand, five hundred eighty-four".