135505510010555 has 32 divisors (see below), whose sum is σ = 165552623945280. Its totient is φ = 106450689945600.

The previous prime is 135505510010509. The next prime is 135505510010561. The reversal of 135505510010555 is 555010015505531.

It is not a de Polignac number, because 135505510010555 - 2¹⁰ = 135505510009531 is a prime.

It is a super-2 number, since 2×135505510010555² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654800441 + ... + 655007349.

It is an arithmetic number, because the mean of its divisors is an integer number (5173519498290).

Almost surely, 2^{135505510010555} is an apocalyptic number.

135505510010555 is a deficient number, since it is larger than the sum of its proper divisors (30047113934725).

135505510010555 is a wasteful number, since it uses less digits than its factorization.

135505510010555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213119.

The product of its (nonzero) digits is 234375, while the sum is 41.

The spelling of 135505510010555 in words is "one hundred thirty-five trillion, five hundred five billion, five hundred ten million, ten thousand, five hundred fifty-five".