114326144 has 32 divisors (see below), whose sum is σ = 229250100. Its totient is φ = 56788992.

The previous prime is 114326143. The next prime is 114326161. The reversal of 114326144 is 441623411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 110670400 + 3655744 = 10520^2 + 1912^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (114326143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17252 + ... + 22940.

Almost surely, 2^114326144 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 114326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114625050).

114326144 is an abundant number, since it is smaller than the sum of its proper divisors (114923956).

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

114326144 is an equidigital number, since it uses as much as digits as its factorization.

114326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5848 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 114326144 is about 10692.3404360318. The cubic root of 114326144 is about 485.3427187601.

Adding to 114326144 its reverse (441623411), we get a palindrome (555949555).

It can be divided in two parts, 11432 and 6144, that added together give a cube (17576 = 26³).

The spelling of 114326144 in words is "one hundred fourteen million, three hundred twenty-six thousand, one hundred forty-four".