114139824 has 80 divisors (see below), whose sum is σ = 307480320. Its totient is φ = 36440320.

The previous prime is 114139801. The next prime is 114139847. The reversal of 114139824 is 428931411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114139801) and next prime (114139847).

It is an unprimeable number.

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, 232219 + ... + 232709.

It is an arithmetic number, because the mean of its divisors is an integer number (3843504).

Almost surely, 2^114139824 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 114139824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

114139824 is an abundant number, since it is smaller than the sum of its proper divisors (193340496).

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

114139824 is a wasteful number, since it uses less digits than its factorization.

114139824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 114139824 is about 10683.6241042073. The cubic root of 114139824 is about 485.0789172606.

The spelling of 114139824 in words is "one hundred fourteen million, one hundred thirty-nine thousand, eight hundred twenty-four".