135185505581537 has 2 divisors, whose sum is σ = 135185505581538. Its totient is φ = 135185505581536.

The previous prime is 135185505581531. The next prime is 135185505581579. The reversal of 135185505581537 is 735185505581531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110583816301456 + 24601689280081 = 10515884^2 + 4960009^2 .

It is a cyclic number.

It is not a de Polignac number, because 135185505581537 - 2¹⁰ = 135185505580513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135185505581537.

It is not a weakly prime, because it can be changed into another prime (135185505581531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67592752790768 + 67592752790769.

It is an arithmetic number, because the mean of its divisors is an integer number (67592752790769).

Almost surely, 2^{135185505581537} is an apocalyptic number.

It is an amenable number.

135185505581537 is a deficient number, since it is larger than the sum of its proper divisors (1).

135185505581537 is an equidigital number, since it uses as much as digits as its factorization.

135185505581537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63000000, while the sum is 62.

The spelling of 135185505581537 in words is "one hundred thirty-five trillion, one hundred eighty-five billion, five hundred five million, five hundred eighty-one thousand, five hundred thirty-seven".