12546144 has 96 divisors (see below), whose sum is σ = 39443040. Its totient is φ = 3856896.

The previous prime is 12546143. The next prime is 12546179. The reversal of 12546144 is 44164521.

12546144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12546143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10674 + ... + 11790.

It is an arithmetic number, because the mean of its divisors is an integer number (410865).

Almost surely, 2^12546144 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 12546144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721520).

12546144 is an abundant number, since it is smaller than the sum of its proper divisors (26896896).

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

12546144 is a wasteful number, since it uses less digits than its factorization.

12546144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1135 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12546144 is about 3542.0536416040. The cubic root of 12546144 is about 232.3646662974.

The spelling of 12546144 in words is "twelve million, five hundred forty-six thousand, one hundred forty-four".