114031320 has 128 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 27624960.

The previous prime is 114031303. The next prime is 114031409. The reversal of 114031320 is 23130411.

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 114031320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103975 + ... + 105065.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^114031320 is an apocalyptic number.

114031320 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 114031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

114031320 is an abundant number, since it is smaller than the sum of its proper divisors (260218920).

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

114031320 is a wasteful number, since it uses less digits than its factorization.

114031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1181 counting only the distinct ones).

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

The square root of 114031320 is about 10678.5448446874. The cubic root of 114031320 is about 484.9251593875.

Adding to 114031320 its reverse (23130411), we get a palindrome (137161731).

Subtracting from 114031320 its reverse (23130411), we obtain a palindrome (90900909).

The spelling of 114031320 in words is "one hundred fourteen million, thirty-one thousand, three hundred twenty".