114456160 has 144 divisors (see below), whose sum is σ = 339047856. Its totient is φ = 36191232.

The previous prime is 114456151. The next prime is 114456161. The reversal of 114456160 is 61654411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114456161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101359 + ... + 102481.

It is an arithmetic number, because the mean of its divisors is an integer number (2354499).

Almost surely, 2^114456160 is an apocalyptic number.

114456160 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 114456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169523928).

114456160 is an abundant number, since it is smaller than the sum of its proper divisors (224591696).

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

114456160 is a wasteful number, since it uses less digits than its factorization.

114456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 114456160 is about 10698.4185747240. The cubic root of 114456160 is about 485.5266324041.

The spelling of 114456160 in words is "one hundred fourteen million, four hundred fifty-six thousand, one hundred sixty".