135757440005813 has 2 divisors, whose sum is σ = 135757440005814. Its totient is φ = 135757440005812.

The previous prime is 135757440005687. The next prime is 135757440005849. The reversal of 135757440005813 is 318500044757531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100755461440804 + 35001978565009 = 10037702^2 + 5916247^2 .

It is a cyclic number.

It is not a de Polignac number, because 135757440005813 - 2¹⁴ = 135757439989429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135757440005113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67878720002906 + 67878720002907.

It is an arithmetic number, because the mean of its divisors is an integer number (67878720002907).

Almost surely, 2^{135757440005813} is an apocalyptic number.

It is an amenable number.

135757440005813 is a deficient number, since it is larger than the sum of its proper divisors (1).

135757440005813 is an equidigital number, since it uses as much as digits as its factorization.

135757440005813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056000, while the sum is 53.

The spelling of 135757440005813 in words is "one hundred thirty-five trillion, seven hundred fifty-seven billion, four hundred forty million, five thousand, eight hundred thirteen".