12853152 has 72 divisors (see below), whose sum is σ = 39374244. Its totient is φ = 3953664.

The previous prime is 12853151. The next prime is 12853163. The reversal of 12853152 is 25135821.

It is a happy number.

12853152 is a `hidden beast` number, since 128 + 531 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 992016 = 3444^2 + 996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12853151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2028 + ... + 5460.

Almost surely, 2^12853152 is an apocalyptic number.

12853152 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 12853152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687122).

12853152 is an abundant number, since it is smaller than the sum of its proper divisors (26521092).

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

12853152 is a wasteful number, since it uses less digits than its factorization.

12853152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3451 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12853152 is about 3585.1292863717. The cubic root of 12853152 is about 234.2447581449.

Adding to 12853152 its reverse (25135821), we get a palindrome (37988973).

The spelling of 12853152 in words is "twelve million, eight hundred fifty-three thousand, one hundred fifty-two".