114500 has 24 divisors (see below), whose sum is σ = 251160. Its totient is φ = 45600.

The previous prime is 114493. The next prime is 114547. The reversal of 114500 is 5411.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 114244 = 16^2 + 338^2 .

It is a super-2 number, since 2×114500² = 26220500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

114500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (10465).

2¹¹⁴⁵⁰⁰ is an apocalyptic number.

114500 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 114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125580).

114500 is an abundant number, since it is smaller than the sum of its proper divisors (136660).

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

114500 is a wasteful number, since it uses less digits than its factorization.

114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 114500 is about 338.3784863138. The cubic root of 114500 is about 48.5588614711.

Adding to 114500 its reverse (5411), we get a palindrome (119911).

The spelling of 114500 in words is "one hundred fourteen thousand, five hundred".