13546144 has 48 divisors (see below), whose sum is σ = 29044008. Its totient is φ = 6193152.

The previous prime is 13546139. The next prime is 13546153. The reversal of 13546144 is 44164531.

It can be written as a sum of positive squares in 4 ways, for example, as 13395600 + 150544 = 3660^2 + 388^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19792 + ... + 20464.

Almost surely, 2^13546144 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 13546144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522004).

13546144 is an abundant number, since it is smaller than the sum of its proper divisors (15497864).

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

13546144 is a wasteful number, since it uses less digits than its factorization.

13546144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 13546144 is about 3680.5086604979. The cubic root of 13546144 is about 238.3811420004.

The spelling of 13546144 in words is "thirteen million, five hundred forty-six thousand, one hundred forty-four".