13809180 has 192 divisors, whose sum is σ = 49996800. Its totient is φ = 2822400.

The previous prime is 13809179. The next prime is 13809209. The reversal of 13809180 is 8190831.

13809180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 427 × 77 × 420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226350 + ... + 226410.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^13809180 is an apocalyptic number.

13809180 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 13809180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

13809180 is an abundant number, since it is smaller than the sum of its proper divisors (36187620).

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

13809180 is a wasteful number, since it uses less digits than its factorization.

13809180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 13809180 is about 3716.0705052515. The cubic root of 13809180 is about 239.9142054452.

The spelling of 13809180 in words is "thirteen million, eight hundred nine thousand, one hundred eighty".