135507953217 has 64 divisors (see below), whose sum is σ = 227060825600. Its totient is φ = 71429299200.

The previous prime is 135507953153. The next prime is 135507953219. The reversal of 135507953217 is 712359705531.

It is not a de Polignac number, because 135507953217 - 2⁶ = 135507953153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135507953219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30510717 + ... + 30515157.

It is an arithmetic number, because the mean of its divisors is an integer number (3547825400).

Almost surely, 2^135507953217 is an apocalyptic number.

It is an amenable number.

135507953217 is a deficient number, since it is larger than the sum of its proper divisors (91552872383).

135507953217 is a wasteful number, since it uses less digits than its factorization.

135507953217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 992250, while the sum is 48.

The spelling of 135507953217 in words is "one hundred thirty-five billion, five hundred seven million, nine hundred fifty-three thousand, two hundred seventeen".