13141800 has 216 divisors, whose sum is σ = 51684750. Its totient is φ = 2983680.

The previous prime is 13141783. The next prime is 13141801. The reversal of 13141800 is 814131.

It can be written as a sum of positive squares in 3 ways, for example, as 7001316 + 6140484 = 2646^2 + 2478^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13141801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 88126 + ... + 88274.

Almost surely, 2^13141800 is an apocalyptic number.

13141800 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 13141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25842375).

13141800 is an abundant number, since it is smaller than the sum of its proper divisors (38542950).

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

13141800 is a wasteful number, since it uses less digits than its factorization.

13141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13141800 is about 3625.1620653427. The cubic root of 13141800 is about 235.9853002431.

Adding to 13141800 its reverse (814131), we get a palindrome (13955931).

The spelling of 13141800 in words is "thirteen million, one hundred forty-one thousand, eight hundred".