13362144 has 48 divisors (see below), whose sum is σ = 35315280. Its totient is φ = 4423680.

The previous prime is 13362133. The next prime is 13362157. The reversal of 13362144 is 44126331.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 16992 + ... + 17760.

It is an arithmetic number, because the mean of its divisors is an integer number (735735).

Almost surely, 2^13362144 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 13362144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657640).

13362144 is an abundant number, since it is smaller than the sum of its proper divisors (21953136).

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

13362144 is a wasteful number, since it uses less digits than its factorization.

13362144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 13362144 is about 3655.4266508850. The cubic root of 13362144 is about 237.2968915418.

Adding to 13362144 its reverse (44126331), we get a palindrome (57488475).

The spelling of 13362144 in words is "thirteen million, three hundred sixty-two thousand, one hundred forty-four".