8004137101 has 8 divisors (see below), whose sum is σ = 8263991808. Its totient is φ = 7744386000.

The previous prime is 8004137077. The next prime is 8004137117. The reversal of 8004137101 is 1017314008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8004137101 - 2¹⁵ = 8004104333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004137131) 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 7 ways as a sum of consecutive naturals, for example, 150231 + ... + 196411.

It is an arithmetic number, because the mean of its divisors is an integer number (1032998976).

Almost surely, 2^8004137101 is an apocalyptic number.

It is an amenable number.

8004137101 is a deficient number, since it is larger than the sum of its proper divisors (259854707).

8004137101 is a wasteful number, since it uses less digits than its factorization.

8004137101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51803.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 8004137101 is about 89465.8432084558. The cubic root of 8004137101 is about 2000.3446990046.

The spelling of 8004137101 in words is "eight billion, four million, one hundred thirty-seven thousand, one hundred one".