114132432 has 80 divisors (see below), whose sum is σ = 302837760. Its totient is φ = 37027200.

The previous prime is 114132427. The next prime is 114132433. The reversal of 114132432 is 234231411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114132399 and 114132408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114132433) by changing a digit.

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, 540807 + ... + 541017.

It is an arithmetic number, because the mean of its divisors is an integer number (3785472).

Almost surely, 2^114132432 is an apocalyptic number.

114132432 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 114132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151418880).

114132432 is an abundant number, since it is smaller than the sum of its proper divisors (188705328).

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

114132432 is a wasteful number, since it uses less digits than its factorization.

114132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 114132432 is about 10683.2781485834. The cubic root of 114132432 is about 485.0684453656.

Adding to 114132432 its reverse (234231411), we get a palindrome (348363843).

The spelling of 114132432 in words is "one hundred fourteen million, one hundred thirty-two thousand, four hundred thirty-two".