114315320 has 64 divisors (see below), whose sum is σ = 296637120. Its totient is φ = 38836224.

The previous prime is 114315287. The next prime is 114315347. The reversal of 114315320 is 23513411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114315292 and 114315301.

It is a congruent number.

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, 29834 + ... + 33446.

It is an arithmetic number, because the mean of its divisors is an integer number (4634955).

Almost surely, 2^114315320 is an apocalyptic number.

114315320 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 114315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148318560).

114315320 is an abundant number, since it is smaller than the sum of its proper divisors (182321800).

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

114315320 is a wasteful number, since it uses less digits than its factorization.

114315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 114315320 is about 10691.8342673276. The cubic root of 114315320 is about 485.3274014256.

Adding to 114315320 its reverse (23513411), we get a palindrome (137828731).

The spelling of 114315320 in words is "one hundred fourteen million, three hundred fifteen thousand, three hundred twenty".