13478144 has 72 divisors (see below), whose sum is σ = 30169440. Its totient is φ = 5971968.

The previous prime is 13478141. The next prime is 13478159. The reversal of 13478144 is 44187431.

It is a super-3 number, since 3×13478144³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13478144.

It is not an unprimeable number, because it can be changed into a prime (13478141) 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, 82607 + ... + 82769.

It is an arithmetic number, because the mean of its divisors is an integer number (419020).

Almost surely, 2^13478144 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 13478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084720).

13478144 is an abundant number, since it is smaller than the sum of its proper divisors (16691296).

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

13478144 is a wasteful number, since it uses less digits than its factorization.

13478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 13478144 is about 3671.2591845306. The cubic root of 13478144 is about 237.9815912132.

The spelling of 13478144 in words is "thirteen million, four hundred seventy-eight thousand, one hundred forty-four".