114125824 has 44 divisors (see below), whose sum is σ = 232129800. Its totient is φ = 56066048.

The previous prime is 114125807. The next prime is 114125831. The reversal of 114125824 is 428521411.

It is a junction number, because it is equal to n+sod(n) for n = 114125792 and 114125801.

It is a congruent number.

It is an unprimeable 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, 59472 + ... + 61360.

Almost surely, 2^114125824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064900).

114125824 is an abundant number, since it is smaller than the sum of its proper divisors (118003976).

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

114125824 is an equidigital number, since it uses as much as digits as its factorization.

114125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1950 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 114125824 is about 10682.9688757386. The cubic root of 114125824 is about 485.0590837433.

The spelling of 114125824 in words is "one hundred fourteen million, one hundred twenty-five thousand, eight hundred twenty-four".