13185180 has 72 divisors (see below), whose sum is σ = 41491632. Its totient is φ = 3514752.

The previous prime is 13185173. The next prime is 13185191. The reversal of 13185180 is 8158131.

Added to its reverse (8158131) it gives a triangular number (21343311 = T₆₅₃₃).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3504 + ... + 6216.

Almost surely, 2^13185180 is an apocalyptic number.

13185180 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 13185180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20745816).

13185180 is an abundant number, since it is smaller than the sum of its proper divisors (28306452).

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

13185180 is a wasteful number, since it uses less digits than its factorization.

13185180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 13185180 is about 3631.1403167600. The cubic root of 13185180 is about 236.2446710816.

Adding to 13185180 its reverse (8158131), we get a triangular number (21343311 = T₆₅₃₃).

It can be divided in two parts, 13 and 185180, that added together give a cube (185193 = 57³).

The spelling of 13185180 in words is "thirteen million, one hundred eighty-five thousand, one hundred eighty".