13205136 has 40 divisors (see below), whose sum is σ = 38987584. Its totient is φ = 3772800.

The previous prime is 13205131. The next prime is 13205147. The reversal of 13205136 is 63150231.

13205136 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13205131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19315 + ... + 19986.

Almost surely, 2^13205136 is an apocalyptic number.

13205136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13205136 is an abundant number, since it is smaller than the sum of its proper divisors (25782448).

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

13205136 is a wasteful number, since it uses less digits than its factorization.

13205136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39319 (or 39313 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13205136 is about 3633.8871749134. The cubic root of 13205136 is about 236.3637978123.

Adding to 13205136 its reverse (63150231), we get a palindrome (76355367).

The spelling of 13205136 in words is "thirteen million, two hundred five thousand, one hundred thirty-six".