13725144 has 96 divisors (see below), whose sum is σ = 39936000. Its totient is φ = 4245696.

The previous prime is 13725143. The next prime is 13725169. The reversal of 13725144 is 44152731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13725143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 108009 + ... + 108135.

It is an arithmetic number, because the mean of its divisors is an integer number (416000).

Almost surely, 2^13725144 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 13725144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968000).

13725144 is an abundant number, since it is smaller than the sum of its proper divisors (26210856).

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

13725144 is a wasteful number, since it uses less digits than its factorization.

13725144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 13725144 is about 3704.7461451495. The cubic root of 13725144 is about 239.4265475592.

Adding to 13725144 its reverse (44152731), we get a palindrome (57877875).

It can be divided in two parts, 137 and 25144, that added together give a square (25281 = 159²).

The spelling of 13725144 in words is "thirteen million, seven hundred twenty-five thousand, one hundred forty-four".