114185000 has 80 divisors (see below), whose sum is σ = 274552740. Its totient is φ = 44480000.

The previous prime is 114184999. The next prime is 114185023. The reversal of 114185000 is 581411.

It can be written as a sum of positive squares in 10 ways, for example, as 59691076 + 54493924 = 7726^2 + 7382^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204722 + ... + 205278.

Almost surely, 2^114185000 is an apocalyptic number.

114185000 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 114185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137276370).

114185000 is an abundant number, since it is smaller than the sum of its proper divisors (160367740).

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

114185000 is an equidigital number, since it uses as much as digits as its factorization.

114185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 114185000 is about 10685.7381588733. The cubic root of 114185000 is about 485.1429061294.

The spelling of 114185000 in words is "one hundred fourteen million, one hundred eighty-five thousand".