6137834013405 has 24 divisors (see below), whose sum is σ = 10642303963512. Its totient is φ = 3272467881984.

The previous prime is 6137834013317. The next prime is 6137834013427. The reversal of 6137834013405 is 5043104387316.

6137834013405 is a `hidden beast` number, since 6 + 137 + 83 + 401 + 34 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3804629698116 + 2333204315289 = 1950546^2 + 1527483^2 .

It is not a de Polignac number, because 6137834013405 - 2¹⁵ = 6137833980637 is a prime.

It is a super-2 number, since 2×6137834013405² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21598764 + ... + 21881093.

It is an arithmetic number, because the mean of its divisors is an integer number (443429331813).

Almost surely, 2^{6137834013405} is an apocalyptic number.

It is an amenable number.

6137834013405 is a deficient number, since it is larger than the sum of its proper divisors (4504469950107).

6137834013405 is a wasteful number, since it uses less digits than its factorization.

6137834013405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43483005 (or 43483002 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6137834013405 in words is "six trillion, one hundred thirty-seven billion, eight hundred thirty-four million, thirteen thousand, four hundred five".