13067136 has 128 divisors (see below), whose sum is σ = 40800000. Its totient is φ = 4105728.

The previous prime is 13067129. The next prime is 13067137. The reversal of 13067136 is 63176031.

13067136 = 86² + 87² + ... + 341².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13067137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65565 + ... + 65763.

It is an arithmetic number, because the mean of its divisors is an integer number (318750).

Almost surely, 2^13067136 is an apocalyptic number.

13067136 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 13067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400000).

13067136 is an abundant number, since it is smaller than the sum of its proper divisors (27732864).

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

13067136 is a wasteful number, since it uses less digits than its factorization.

13067136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13067136 is about 3614.8493744553. The cubic root of 13067136 is about 235.5375411774.

It can be divided in two parts, 13067 and 136, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 13067136 in words is "thirteen million, sixty-seven thousand, one hundred thirty-six".