13949136 has 60 divisors (see below), whose sum is σ = 39350532. Its totient is φ = 4612608.

The previous prime is 13949113. The next prime is 13949137. The reversal of 13949136 is 63194931.

13949136 is a `hidden beast` number, since 139 + 491 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 12110400 = 1356^2 + 3480^2 .

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 13949136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13949137) 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, 22300 + ... + 22916.

Almost surely, 2^13949136 is an apocalyptic number.

13949136 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 13949136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675266).

13949136 is an abundant number, since it is smaller than the sum of its proper divisors (25401396).

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

13949136 is a wasteful number, since it uses less digits than its factorization.

13949136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

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

The square root of 13949136 is about 3734.8542140223. The cubic root of 13949136 is about 240.7219925170.

The spelling of 13949136 in words is "thirteen million, nine hundred forty-nine thousand, one hundred thirty-six".