13458144 has 72 divisors (see below), whose sum is σ = 41109768. Its totient is φ = 3843840.

The previous prime is 13458143. The next prime is 13458161. The reversal of 13458144 is 44185431.

13458144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13458144³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13458143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3274 + ... + 6134.

It is an arithmetic number, because the mean of its divisors is an integer number (570969).

Almost surely, 2^13458144 is an apocalyptic number.

13458144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13458144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554884).

13458144 is an abundant number, since it is smaller than the sum of its proper divisors (27651624).

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

13458144 is a wasteful number, since it uses less digits than its factorization.

13458144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2873 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 13458144 is about 3668.5343122288. The cubic root of 13458144 is about 237.8638205960.

The spelling of 13458144 in words is "thirteen million, four hundred fifty-eight thousand, one hundred forty-four".