83805442137 has 12 divisors (see below), whose sum is σ = 121389503040. Its totient is φ = 55714665048.

The previous prime is 83805442057. The next prime is 83805442141. The reversal of 83805442137 is 73124450838.

83805442137 is a `hidden beast` number, since 8 + 3 + 80 + 544 + 21 + 3 + 7 = 666.

It is not a de Polignac number, because 83805442137 - 2⁷ = 83805442009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83805442092 and 83805442101.

It is not an unprimeable number, because it can be changed into a prime (83805442837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12965733 + ... + 12972194.

It is an arithmetic number, because the mean of its divisors is an integer number (10115791920).

Almost surely, 2^83805442137 is an apocalyptic number.

It is an amenable number.

83805442137 is a deficient number, since it is larger than the sum of its proper divisors (37584060903).

83805442137 is a wasteful number, since it uses less digits than its factorization.

83805442137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25938292 (or 25938289 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 83805442137 in words is "eighty-three billion, eight hundred five million, four hundred forty-two thousand, one hundred thirty-seven".