13538008 has 16 divisors (see below), whose sum is σ = 27691560. Its totient is φ = 6153600.

The previous prime is 13537987. The next prime is 13538009. The reversal of 13538008 is 80083531.

13538008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13538009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76833 + ... + 77008.

Almost surely, 2^13538008 is an apocalyptic number.

It is an amenable number.

13538008 is an abundant number, since it is smaller than the sum of its proper divisors (14153552).

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

13538008 is a wasteful number, since it uses less digits than its factorization.

13538008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153858 (or 153854 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13538008 is about 3679.4032124789. The cubic root of 13538008 is about 238.3334074472. Note that the first 3 decimals are identical.

The spelling of 13538008 in words is "thirteen million, five hundred thirty-eight thousand, eight".