13508000 has 96 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 4896000.

The previous prime is 13507999. The next prime is 13508003. The reversal of 13508000 is 80531.

It is a self number, because there is not a number n which added to its sum of digits gives 13508000.

It is not an unprimeable number, because it can be changed into a prime (13508003) 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 15 ways as a sum of consecutive naturals, for example, 43847 + ... + 44153.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 2^13508000 is an apocalyptic number.

13508000 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 13508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

13508000 is an abundant number, since it is smaller than the sum of its proper divisors (22816288).

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

13508000 is a wasteful number, since it uses less digits than its factorization.

13508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13508000 is about 3675.3231150472. The cubic root of 13508000 is about 238.1571826128.

Adding to 13508000 its reverse (80531), we get a palindrome (13588531).

The spelling of 13508000 in words is "thirteen million, five hundred eight thousand".