13409136 has 180 divisors, whose sum is σ = 44249400. Its totient is φ = 3773952.

The previous prime is 13409119. The next prime is 13409153. The reversal of 13409136 is 63190431.

13409136 = T₅₅ + T₅₆ + ... + T₄₃₁.

13409136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13409119) and next prime (13409153).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462370 + ... + 462398.

It is an arithmetic number, because the mean of its divisors is an integer number (245830).

Almost surely, 2^13409136 is an apocalyptic number.

13409136 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 13409136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22124700).

13409136 is an abundant number, since it is smaller than the sum of its proper divisors (30840264).

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

13409136 is a wasteful number, since it uses less digits than its factorization.

13409136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13409136 is about 3661.8487134233. The cubic root of 13409136 is about 237.5747413887.

Adding to 13409136 its reverse (63190431), we get a palindrome (76599567).

The spelling of 13409136 in words is "thirteen million, four hundred nine thousand, one hundred thirty-six".