114282504 has 144 divisors (see below), whose sum is σ = 372797100. Its totient is φ = 31497984.

The previous prime is 114282499. The next prime is 114282541. The reversal of 114282504 is 405282411.

It can be written as a sum of positive squares in 2 ways, for example, as 105884100 + 8398404 = 10290^2 + 2898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101754 + ... + 102870.

Almost surely, 2^114282504 is an apocalyptic number.

114282504 is a gapful number since it is divisible by the number (14) 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 114282504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186398550).

114282504 is an abundant number, since it is smaller than the sum of its proper divisors (258514596).

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

114282504 is a wasteful number, since it uses less digits than its factorization.

114282504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 114282504 is about 10690.2995280768. The cubic root of 114282504 is about 485.2809567081.

The spelling of 114282504 in words is "one hundred fourteen million, two hundred eighty-two thousand, five hundred four".