13189536 has 72 divisors (see below), whose sum is σ = 38456964. Its totient is φ = 4285440.

The previous prime is 13189523. The next prime is 13189541. The reversal of 13189536 is 63598131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9363600 + 3825936 = 3060^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13189536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11250 + ... + 12366.

Almost surely, 2^13189536 is an apocalyptic number.

13189536 is a gapful number since it is divisible by the number (16) 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 13189536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19228482).

13189536 is an abundant number, since it is smaller than the sum of its proper divisors (25267428).

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

13189536 is a wasteful number, since it uses less digits than its factorization.

13189536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1163 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13189536 is about 3631.7400788052. The cubic root of 13189536 is about 236.2706843400.

The spelling of 13189536 in words is "thirteen million, one hundred eighty-nine thousand, five hundred thirty-six".