14133520 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 5299200.

The previous prime is 14133503. The next prime is 14133521. The reversal of 14133520 is 2533141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×14133520⁴ (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133521) 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 15 ways as a sum of consecutive naturals, for example, 101611 + ... + 101749.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^14133520 is an apocalyptic number.

14133520 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 14133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

14133520 is an abundant number, since it is smaller than the sum of its proper divisors (20864240).

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

14133520 is a wasteful number, since it uses less digits than its factorization.

14133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 14133520 is about 3759.4574076587. The cubic root of 14133520 is about 241.7779991718. Note that the first 3 decimals are identical.

Adding to 14133520 its reverse (2533141), we get a palindrome (16666661).

The spelling of 14133520 in words is "fourteen million, one hundred thirty-three thousand, five hundred twenty".