114312132 has 72 divisors (see below), whose sum is σ = 331836960. Its totient is φ = 32814720.

The previous prime is 114312119. The next prime is 114312137. The reversal of 114312132 is 231213411.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (114312137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73 + ... + 15120.

Almost surely, 2^114312132 is an apocalyptic number.

114312132 is a gapful number since it is divisible by the number (12) 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 114312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165918480).

114312132 is an abundant number, since it is smaller than the sum of its proper divisors (217524828).

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

114312132 is a wasteful number, since it uses less digits than its factorization.

114312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15233 (or 15228 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 114312132 is about 10691.6851805504. The cubic root of 114312132 is about 485.3228898164.

Adding to 114312132 its reverse (231213411), we get a palindrome (345525543).

The spelling of 114312132 in words is "one hundred fourteen million, three hundred twelve thousand, one hundred thirty-two".