114052320 has 192 divisors, whose sum is σ = 422936640. Its totient is φ = 28606464.

The previous prime is 114052319. The next prime is 114052333. The reversal of 114052320 is 23250411.

114052320 is a `hidden beast` number, since 1 + 140 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114052293 and 114052302.

It is a congruent number.

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, 72664 + ... + 74216.

It is an arithmetic number, because the mean of its divisors is an integer number (2202795).

Almost surely, 2^114052320 is an apocalyptic number.

114052320 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 114052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211468320).

114052320 is an abundant number, since it is smaller than the sum of its proper divisors (308884320).

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

114052320 is a wasteful number, since it uses less digits than its factorization.

114052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114052320 is about 10679.5280794612. The cubic root of 114052320 is about 484.9549254883.

The spelling of 114052320 in words is "one hundred fourteen million, fifty-two thousand, three hundred twenty".