13749008 has 120 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 5080320.

The previous prime is 13749007. The next prime is 13749011. The reversal of 13749008 is 80094731.

It is not an unprimeable number, because it can be changed into a prime (13749007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193613 + ... + 193683.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^13749008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13749008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

13749008 is an abundant number, since it is smaller than the sum of its proper divisors (21873712).

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

13749008 is a wasteful number, since it uses less digits than its factorization.

13749008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13749008 is about 3707.9654798825. The cubic root of 13749008 is about 239.5652313952.

The spelling of 13749008 in words is "thirteen million, seven hundred forty-nine thousand, eight".