114536000 has 112 divisors (see below), whose sum is σ = 288462720. Its totient is φ = 45043200.

The previous prime is 114535999. The next prime is 114536029. The reversal of 114536000 is 635411.

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 15 ways as a sum of consecutive naturals, for example, 823931 + ... + 824069.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 2^114536000 is an apocalyptic number.

114536000 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 114536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144231360).

114536000 is an abundant number, since it is smaller than the sum of its proper divisors (173926720).

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

114536000 is a wasteful number, since it uses less digits than its factorization.

114536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 114536000 is about 10702.1493168429. The cubic root of 114536000 is about 485.6395007615.

The spelling of 114536000 in words is "one hundred fourteen million, five hundred thirty-six thousand".