13146936 has 64 divisors (see below), whose sum is σ = 37756800. Its totient is φ = 3772800.

The previous prime is 13146929. The next prime is 13146953. The reversal of 13146936 is 63964131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13146897 and 13146906.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3706 + ... + 6326.

It is an arithmetic number, because the mean of its divisors is an integer number (589950).

Almost surely, 2^13146936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13146936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18878400).

13146936 is an abundant number, since it is smaller than the sum of its proper divisors (24609864).

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

13146936 is a wasteful number, since it uses less digits than its factorization.

13146936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2656 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 13146936 is about 3625.8703782678. The cubic root of 13146936 is about 236.0160383623.

The spelling of 13146936 in words is "thirteen million, one hundred forty-six thousand, nine hundred thirty-six".