114786144 has 144 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 32935680.

The previous prime is 114786143. The next prime is 114786151. The reversal of 114786144 is 441687411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114786099 and 114786108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114786143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59239 + ... + 61145.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 2^114786144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114786144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

114786144 is an abundant number, since it is smaller than the sum of its proper divisors (260250336).

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

114786144 is a wasteful number, since it uses less digits than its factorization.

114786144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1942 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 114786144 is about 10713.8295674329. The cubic root of 114786144 is about 485.9927855455.

The spelling of 114786144 in words is "one hundred fourteen million, seven hundred eighty-six thousand, one hundred forty-four".