10137067400737 has 2 divisors, whose sum is σ = 10137067400738. Its totient is φ = 10137067400736.

The previous prime is 10137067400731. The next prime is 10137067400753. The reversal of 10137067400737 is 73700476073101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10131227995681 + 5839405056 = 3182959^2 + 76416^2 .

It is a cyclic number.

It is not a de Polignac number, because 10137067400737 - 2³⁹ = 9587311586849 is a prime.

It is a super-3 number, since 3×10137067400737³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10137067400731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068533700368 + 5068533700369.

It is an arithmetic number, because the mean of its divisors is an integer number (5068533700369).

Almost surely, 2^{10137067400737} is an apocalyptic number.

It is an amenable number.

10137067400737 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137067400737 is an equidigital number, since it uses as much as digits as its factorization.

10137067400737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518616, while the sum is 46.

The spelling of 10137067400737 in words is "ten trillion, one hundred thirty-seven billion, sixty-seven million, four hundred thousand, seven hundred thirty-seven".