13136640 has 144 divisors (see below), whose sum is σ = 45916416. Its totient is φ = 3174400.

The previous prime is 13136639. The next prime is 13136647. The reversal of 13136640 is 4663131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13136640.

It is not an unprimeable number, because it can be changed into a prime (13136647) 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, 42085 + ... + 42395.

It is an arithmetic number, because the mean of its divisors is an integer number (318864).

Almost surely, 2^13136640 is an apocalyptic number.

13136640 is a gapful number since it is divisible by the number (10) 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 13136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208).

13136640 is an abundant number, since it is smaller than the sum of its proper divisors (32779776).

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

13136640 is a wasteful number, since it uses less digits than its factorization.

13136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13136640 is about 3624.4503031494. The cubic root of 13136640 is about 235.9544104219.

Adding to 13136640 its reverse (4663131), we get a palindrome (17799771).

The spelling of 13136640 in words is "thirteen million, one hundred thirty-six thousand, six hundred forty".