114132 has 12 divisors (see below), whose sum is σ = 266336. Its totient is φ = 38040.

The previous prime is 114113. The next prime is 114143. The reversal of 114132 is 231411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×114132² = 26052226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 9511 = 114132 / (1 + 1 + 4 + 1 + 3 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

114132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4744 + ... + 4767.

2¹¹⁴¹³² is an apocalyptic number.

114132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114132 is an abundant number, since it is smaller than the sum of its proper divisors (152204).

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

114132 is a wasteful number, since it uses less digits than its factorization.

114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9516 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 114132 is about 337.8342789002. The cubic root of 114132 is about 48.5067833358.

Adding to 114132 its reverse (231411), we get a palindrome (345543).

The spelling of 114132 in words is "one hundred fourteen thousand, one hundred thirty-two".