13181472 has 72 divisors (see below), whose sum is σ = 38529036. Its totient is φ = 4271616.

The previous prime is 13181453. The next prime is 13181473. The reversal of 13181472 is 27418131.

13181472 is a `hidden beast` number, since 13 + 181 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 1648656 = 3396^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13181473) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10038 + ... + 11274.

Almost surely, 2^13181472 is an apocalyptic number.

13181472 is a gapful number since it is divisible by the number (12) 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 13181472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19264518).

13181472 is an abundant number, since it is smaller than the sum of its proper divisors (25347564).

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

13181472 is a wasteful number, since it uses less digits than its factorization.

13181472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1279 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13181472 is about 3630.6296974492. The cubic root of 13181472 is about 236.2225230495. Note that the first 3 decimals are identical.

The spelling of 13181472 in words is "thirteen million, one hundred eighty-one thousand, four hundred seventy-two".