12526144 has 56 divisors (see below), whose sum is σ = 27294840. Its totient is φ = 5677056.

The previous prime is 12526141. The next prime is 12526159. The reversal of 12526144 is 44162521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 8065600 = 2112^2 + 2840^2 .

It is not an unprimeable number, because it can be changed into a prime (12526141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31354 + ... + 31750.

Almost surely, 2^12526144 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 12526144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13647420).

12526144 is an abundant number, since it is smaller than the sum of its proper divisors (14768696).

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

12526144 is a wasteful number, since it uses less digits than its factorization.

12526144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 12526144 is about 3539.2292946346. The cubic root of 12526144 is about 232.2411286071.

Adding to 12526144 its reverse (44162521), we get a palindrome (56688665).

It can be divided in two parts, 1252 and 6144, that added together give a square (7396 = 86²).

The spelling of 12526144 in words is "twelve million, five hundred twenty-six thousand, one hundred forty-four".