13147008 has 128 divisors (see below), whose sum is σ = 41061120. Its totient is φ = 3649536.

The previous prime is 13147003. The next prime is 13147009. The reversal of 13147008 is 80074131.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147003) 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, 180060 + ... + 180132.

It is an arithmetic number, because the mean of its divisors is an integer number (320790).

Almost surely, 2^13147008 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 13147008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530560).

13147008 is an abundant number, since it is smaller than the sum of its proper divisors (27914112).

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

13147008 is an equidigital number, since it uses as much as digits as its factorization.

13147008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13147008 is about 3625.8803069048. The cubic root of 13147008 is about 236.0164692136.

The spelling of 13147008 in words is "thirteen million, one hundred forty-seven thousand, eight".