114585120 has 144 divisors (see below), whose sum is σ = 421169112. Its totient is φ = 28200960.

The previous prime is 114585113. The next prime is 114585157. The reversal of 114585120 is 21585411.

114585120 is a `hidden beast` number, since 1 + 145 + 8 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 67963536 = 6828^2 + 8244^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15660 + ... + 21780.

Almost surely, 2^114585120 is an apocalyptic number.

114585120 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 114585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210584556).

114585120 is an abundant number, since it is smaller than the sum of its proper divisors (306583992).

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

114585120 is a wasteful number, since it uses less digits than its factorization.

114585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 114585120 is about 10704.4439369824. The cubic root of 114585120 is about 485.7089147536.

The spelling of 114585120 in words is "one hundred fourteen million, five hundred eighty-five thousand, one hundred twenty".