13542160 has 40 divisors (see below), whose sum is σ = 31794840. Its totient is φ = 5363712.

The previous prime is 13542143. The next prime is 13542161. The reversal of 13542160 is 6124531.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 13046544 = 704^2 + 3612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542161) 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, 7944 + ... + 9496.

It is an arithmetic number, because the mean of its divisors is an integer number (794871).

Almost surely, 2^13542160 is an apocalyptic number.

13542160 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 13542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897420).

13542160 is an abundant number, since it is smaller than the sum of its proper divisors (18252680).

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

13542160 is a wasteful number, since it uses less digits than its factorization.

13542160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13542160 is about 3679.9673911599. The cubic root of 13542160 is about 238.3577699473.

Adding to 13542160 its reverse (6124531), we get a palindrome (19666691).

The spelling of 13542160 in words is "thirteen million, five hundred forty-two thousand, one hundred sixty".