13149936 has 60 divisors (see below), whose sum is σ = 37517688. Its totient is φ = 4298112.

The previous prime is 13149931. The next prime is 13149937. The reversal of 13149936 is 63994131.

13149936 is a `hidden beast` number, since 131 + 499 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13149936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13149931) 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 11 ways as a sum of consecutive naturals, for example, 6771 + ... + 8493.

Almost surely, 2^13149936 is an apocalyptic number.

13149936 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 13149936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758844).

13149936 is an abundant number, since it is smaller than the sum of its proper divisors (24367752).

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

13149936 is a wasteful number, since it uses less digits than its factorization.

13149936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1781 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 13149936 is about 3626.2840484441. The cubic root of 13149936 is about 236.0339891676.

The spelling of 13149936 in words is "thirteen million, one hundred forty-nine thousand, nine hundred thirty-six".