114000 has 80 divisors (see below), whose sum is σ = 386880. Its totient is φ = 28800.

The previous prime is 113989. The next prime is 114001. The reversal of 114000 is 411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114001) 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, 5991 + ... + 6009.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2¹¹⁴⁰⁰⁰ is an apocalyptic number.

114000 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 114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

114000 is an abundant number, since it is smaller than the sum of its proper divisors (272880).

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

114000 is a wasteful number, since it uses less digits than its factorization.

114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 114000 is about 337.6388603227. The cubic root of 114000 is about 48.4880758584.

Adding to 114000 its reverse (411), we get a palindrome (114411).

The spelling of 114000 in words is "one hundred fourteen thousand", and thus it is an iban number.