14136144 has 80 divisors (see below), whose sum is σ = 40872384. Its totient is φ = 4172800.

The previous prime is 14136131. The next prime is 14136169. The reversal of 14136144 is 44163141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21322 + ... + 21974.

Almost surely, 2^14136144 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 14136144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436192).

14136144 is an abundant number, since it is smaller than the sum of its proper divisors (26736240).

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

14136144 is a wasteful number, since it uses less digits than its factorization.

14136144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 14136144 is about 3759.8063779934. The cubic root of 14136144 is about 241.7929609131.

Adding to 14136144 its reverse (44163141), we get a palindrome (58299285).

It can be divided in two parts, 1413 and 6144, that added together give a palindrome (7557).

The spelling of 14136144 in words is "fourteen million, one hundred thirty-six thousand, one hundred forty-four".