114024132 has 72 divisors (see below), whose sum is σ = 303182880. Its totient is φ = 37059120.

The previous prime is 114024101. The next prime is 114024139. The reversal of 114024132 is 231420411.

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

It is not an unprimeable number, because it can be changed into a prime (114024139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199407 + ... + 199977.

Almost surely, 2^114024132 is an apocalyptic number.

114024132 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 114024132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151591440).

114024132 is an abundant number, since it is smaller than the sum of its proper divisors (189158748).

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

114024132 is a wasteful number, since it uses less digits than its factorization.

114024132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114024132 is about 10678.2082766726. The cubic root of 114024132 is about 484.9149700370.

Adding to 114024132 its reverse (231420411), we get a palindrome (345444543).

The spelling of 114024132 in words is "one hundred fourteen million, twenty-four thousand, one hundred thirty-two".