12733136 has 60 divisors (see below), whose sum is σ = 28387692. Its totient is φ = 5511168.

The previous prime is 12733129. The next prime is 12733139. The reversal of 12733136 is 63133721.

It can be written as a sum of positive squares in 6 ways, for example, as 2131600 + 10601536 = 1460^2 + 3256^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12733139) 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, 45830 + ... + 46106.

Almost surely, 2^12733136 is an apocalyptic number.

12733136 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 12733136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193846).

12733136 is an abundant number, since it is smaller than the sum of its proper divisors (15654556).

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

12733136 is a wasteful number, since it uses less digits than its factorization.

12733136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its digits is 2268, while the sum is 26.

The square root of 12733136 is about 3568.3520005739. The cubic root of 12733136 is about 233.5133920822.

Adding to 12733136 its reverse (63133721), we get a palindrome (75866857).

The spelling of 12733136 in words is "twelve million, seven hundred thirty-three thousand, one hundred thirty-six".