114130320 has 80 divisors (see below), whose sum is σ = 355185600. Its totient is φ = 30316032.

The previous prime is 114130319. The next prime is 114130343. The reversal of 114130320 is 23031411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114130320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72906 + ... + 74454.

It is an arithmetic number, because the mean of its divisors is an integer number (4439820).

Almost surely, 2^114130320 is an apocalyptic number.

114130320 is a gapful number since it is divisible by the number (10) 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 114130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592800).

114130320 is an abundant number, since it is smaller than the sum of its proper divisors (241055280).

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

114130320 is a wasteful number, since it uses less digits than its factorization.

114130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 114130320 is about 10683.1793020617. The cubic root of 114130320 is about 485.0654533125.

Adding to 114130320 its reverse (23031411), we get a palindrome (137161731).

The spelling of 114130320 in words is "one hundred fourteen million, one hundred thirty thousand, three hundred twenty".