13138180 has 72 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 4646400.

The previous prime is 13138159. The next prime is 13138183. The reversal of 13138180 is 8183131.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 12859396 = 528^2 + 3586^2 .

It is a super-2 number, since 2×13138180² = 345223547424800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13138183) 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, 147576 + ... + 147664.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 2^13138180 is an apocalyptic number.

13138180 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 13138180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

13138180 is an abundant number, since it is smaller than the sum of its proper divisors (18031700).

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

13138180 is a wasteful number, since it uses less digits than its factorization.

13138180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 13138180 is about 3624.6627429321. The cubic root of 13138180 is about 235.9636303238.

The spelling of 13138180 in words is "thirteen million, one hundred thirty-eight thousand, one hundred eighty".