114138024 has 128 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 27360000.

The previous prime is 114138019. The next prime is 114138047. The reversal of 114138024 is 420831411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 114137985 and 114138003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21649 + ... + 26399.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^114138024 is an apocalyptic number.

114138024 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 114138024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

114138024 is an abundant number, since it is smaller than the sum of its proper divisors (269063256).

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

114138024 is a wasteful number, since it uses less digits than its factorization.

114138024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 114138024 is about 10683.5398627983. The cubic root of 114138024 is about 485.0763673278.

Adding to 114138024 its reverse (420831411), we get a palindrome (534969435).

The spelling of 114138024 in words is "one hundred fourteen million, one hundred thirty-eight thousand, twenty-four".