13149216 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 4105728.

The previous prime is 13149203. The next prime is 13149229. The reversal of 13149216 is 61294131.

It is an interprime number because it is at equal distance from previous prime (13149203) and next prime (13149229).

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 (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13149216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147700 + ... + 147788.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^13149216 is an apocalyptic number.

13149216 is a gapful number since it is divisible by the number (16) 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 13149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

13149216 is an abundant number, since it is smaller than the sum of its proper divisors (28128384).

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

13149216 is an equidigital number, since it uses as much as digits as its factorization.

13149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13149216 is about 3626.1847719056. The cubic root of 13149216 is about 236.0296812233.

The spelling of 13149216 in words is "thirteen million, one hundred forty-nine thousand, two hundred sixteen".