10134072080 has 160 divisors (see below), whose sum is σ = 26493125760. Its totient is φ = 3572674560.

The previous prime is 10134072029. The next prime is 10134072097. The reversal of 10134072080 is 8027043101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17810036 + ... + 17810604.

It is an arithmetic number, because the mean of its divisors is an integer number (165582036).

Almost surely, 2^10134072080 is an apocalyptic number.

10134072080 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 10134072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246562880).

10134072080 is an abundant number, since it is smaller than the sum of its proper divisors (16359053680).

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

10134072080 is a wasteful number, since it uses less digits than its factorization.

10134072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 10134072080 in words is "ten billion, one hundred thirty-four million, seventy-two thousand, eighty".