13520160 has 144 divisors (see below), whose sum is σ = 47469240. Its totient is φ = 3502080.

The previous prime is 13520149. The next prime is 13520167. The reversal of 13520160 is 6102531.

It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 2944656 = 3252^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13520167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58926 + ... + 59154.

Almost surely, 2^13520160 is an apocalyptic number.

13520160 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 13520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23734620).

13520160 is an abundant number, since it is smaller than the sum of its proper divisors (33949080).

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

13520160 is a wasteful number, since it uses less digits than its factorization.

13520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13520160 is about 3676.9770192374. The cubic root of 13520160 is about 238.2286247898.

Adding to 13520160 its reverse (6102531), we get a palindrome (19622691).

The spelling of 13520160 in words is "thirteen million, five hundred twenty thousand, one hundred sixty".