13506144 has 24 divisors (see below), whose sum is σ = 35453880. Its totient is φ = 4502016.

The previous prime is 13506139. The next prime is 13506151. The reversal of 13506144 is 44160531.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70249 + ... + 70440.

It is an arithmetic number, because the mean of its divisors is an integer number (1477245).

Almost surely, 2^13506144 is an apocalyptic number.

It is an amenable number.

13506144 is an abundant number, since it is smaller than the sum of its proper divisors (21947736).

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

13506144 is a wasteful number, since it uses less digits than its factorization.

13506144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140702 (or 140694 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13506144 is about 3675.0706115665. The cubic root of 13506144 is about 238.1462745096.

Adding to 13506144 its reverse (44160531), we get a palindrome (57666675).

It can be divided in two parts, 1350 and 6144, that multiplied together give a square (8294400 = 2880²).

The spelling of 13506144 in words is "thirteen million, five hundred six thousand, one hundred forty-four".