13185160 has 16 divisors (see below), whose sum is σ = 29666700. Its totient is φ = 5274048.

The previous prime is 13185157. The next prime is 13185167. The reversal of 13185160 is 6158131.

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 268324 = 3594^2 + 518^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13185167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164775 + ... + 164854.

Almost surely, 2^13185160 is an apocalyptic number.

13185160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13185160 is an abundant number, since it is smaller than the sum of its proper divisors (16481540).

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

13185160 is a wasteful number, since it uses less digits than its factorization.

13185160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329640 (or 329636 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 13185160 is about 3631.1375628031. The cubic root of 13185160 is about 236.2445516320.

The spelling of 13185160 in words is "thirteen million, one hundred eighty-five thousand, one hundred sixty".