13134079008 has 144 divisors (see below), whose sum is σ = 38715086592. Its totient is φ = 4219200000.

The previous prime is 13134079001. The next prime is 13134079019. The reversal of 13134079008 is 80097043131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13134079001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2237998 + ... + 2243858.

It is an arithmetic number, because the mean of its divisors is an integer number (268854768).

Almost surely, 2^13134079008 is an apocalyptic number.

13134079008 is a gapful number since it is divisible by the number (18) 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 13134079008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357543296).

13134079008 is an abundant number, since it is smaller than the sum of its proper divisors (25581007584).

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

13134079008 is a wasteful number, since it uses less digits than its factorization.

13134079008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13134079008 in words is "thirteen billion, one hundred thirty-four million, seventy-nine thousand, eight".