8000137509 has 32 divisors (see below), whose sum is σ = 13350973440. Its totient is φ = 4148321472.

The previous prime is 8000137499. The next prime is 8000137547. The reversal of 8000137509 is 9057310008.

It is not a de Polignac number, because 8000137509 - 2¹² = 8000133413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8000137509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000137309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232237 + ... + 264450.

It is an arithmetic number, because the mean of its divisors is an integer number (417217920).

Almost surely, 2^8000137509 is an apocalyptic number.

It is an amenable number.

8000137509 is a deficient number, since it is larger than the sum of its proper divisors (5350835931).

8000137509 is a wasteful number, since it uses less digits than its factorization.

8000137509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496769.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 8000137509 is about 89443.4877953672. The cubic root of 8000137509 is about 2000.0114590177.

The spelling of 8000137509 in words is "eight billion, one hundred thirty-seven thousand, five hundred nine".