13541120 has 72 divisors (see below), whose sum is σ = 33112800. Its totient is φ = 5304320.

The previous prime is 13541119. The next prime is 13541147. The reversal of 13541120 is 2114531.

It is a congruent number.

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, 90806 + ... + 90954.

It is an arithmetic number, because the mean of its divisors is an integer number (459900).

Almost surely, 2^13541120 is an apocalyptic number.

13541120 is a gapful number since it is divisible by the number (10) 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 13541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556400).

13541120 is an abundant number, since it is smaller than the sum of its proper divisors (19571680).

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

13541120 is an equidigital number, since it uses as much as digits as its factorization.

13541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13541120 is about 3679.8260828469. The cubic root of 13541120 is about 238.3516680545.

Adding to 13541120 its reverse (2114531), we get a palindrome (15655651).

The spelling of 13541120 in words is "thirteen million, five hundred forty-one thousand, one hundred twenty".