12765144 has 32 divisors (see below), whose sum is σ = 36472320. Its totient is φ = 3647136.

The previous prime is 12765143. The next prime is 12765157. The reversal of 12765144 is 44156721.

12765144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12765143) 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, 37824 + ... + 38159.

It is an arithmetic number, because the mean of its divisors is an integer number (1139760).

Almost surely, 2^12765144 is an apocalyptic number.

12765144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12765144 is an abundant number, since it is smaller than the sum of its proper divisors (23707176).

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

12765144 is a wasteful number, since it uses less digits than its factorization.

12765144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75999 (or 75995 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 12765144 is about 3572.8341691156. The cubic root of 12765144 is about 233.7088936076.

The spelling of 12765144 in words is "twelve million, seven hundred sixty-five thousand, one hundred forty-four".