114565120 has 56 divisors (see below), whose sum is σ = 275037804. Its totient is φ = 45809664.

The previous prime is 114565097. The next prime is 114565123. The reversal of 114565120 is 21565411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114233344 + 331776 = 10688^2 + 576^2 .

It is a super-2 number, since 2×114565120² = 26250333441228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114565123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39562 + ... + 42358.

Almost surely, 2^114565120 is an apocalyptic number.

114565120 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 114565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137518902).

114565120 is an abundant number, since it is smaller than the sum of its proper divisors (160472684).

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

114565120 is an frugal number, since it uses more digits than its factorization.

114565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 114565120 is about 10703.5097047651. The cubic root of 114565120 is about 485.6806541222.

The spelling of 114565120 in words is "one hundred fourteen million, five hundred sixty-five thousand, one hundred twenty".