13185198 has 72 divisors (see below), whose sum is σ = 32338488. Its totient is φ = 3858624.

The previous prime is 13185191. The next prime is 13185223. The reversal of 13185198 is 89158131.

13185198 is a `hidden beast` number, since 131 + 8 + 519 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196761 + ... + 196827.

Almost surely, 2^13185198 is an apocalyptic number.

13185198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13185198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169244).

13185198 is an abundant number, since it is smaller than the sum of its proper divisors (19153290).

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

13185198 is a wasteful number, since it uses less digits than its factorization.

13185198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 13185198 is about 3631.1427953194. The cubic root of 13185198 is about 236.2447785862.

The spelling of 13185198 in words is "thirteen million, one hundred eighty-five thousand, one hundred ninety-eight".