37712046137 has 2 divisors, whose sum is σ = 37712046138. Its totient is φ = 37712046136.

The previous prime is 37712046133. The next prime is 37712046139. The reversal of 37712046137 is 73164021773.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37216583056 + 495463081 = 192916^2 + 22259^2 .

It is a cyclic number.

It is not a de Polignac number, because 37712046137 - 2² = 37712046133 is a prime.

Together with 37712046139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 37712046094 and 37712046103.

It is not a weakly prime, because it can be changed into another prime (37712046131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18856023068 + 18856023069.

It is an arithmetic number, because the mean of its divisors is an integer number (18856023069).

Almost surely, 2^37712046137 is an apocalyptic number.

It is an amenable number.

37712046137 is a deficient number, since it is larger than the sum of its proper divisors (1).

37712046137 is an equidigital number, since it uses as much as digits as its factorization.

37712046137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 148176, while the sum is 41.

The spelling of 37712046137 in words is "thirty-seven billion, seven hundred twelve million, forty-six thousand, one hundred thirty-seven".