37134814165793 has 2 divisors, whose sum is σ = 37134814165794. Its totient is φ = 37134814165792.

The previous prime is 37134814165781. The next prime is 37134814165819. The reversal of 37134814165793 is 39756141843173.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35786633089249 + 1348181076544 = 5982193^2 + 1161112^2 .

It is a cyclic number.

It is not a de Polignac number, because 37134814165793 - 2²⁶ = 37134747056929 is a prime.

It is not a weakly prime, because it can be changed into another prime (37134814165993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18567407082896 + 18567407082897.

It is an arithmetic number, because the mean of its divisors is an integer number (18567407082897).

Almost surely, 2^{37134814165793} is an apocalyptic number.

It is an amenable number.

37134814165793 is a deficient number, since it is larger than the sum of its proper divisors (1).

37134814165793 is an equidigital number, since it uses as much as digits as its factorization.

37134814165793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45722880, while the sum is 62.

The spelling of 37134814165793 in words is "thirty-seven trillion, one hundred thirty-four billion, eight hundred fourteen million, one hundred sixty-five thousand, seven hundred ninety-three".