135540076563 has 24 divisors (see below), whose sum is σ = 197557238736. Its totient is φ = 89541816000.

The previous prime is 135540076559. The next prime is 135540076571. The reversal of 135540076563 is 365670045531.

135540076563 is a `hidden beast` number, since 1 + 35 + 54 + 0 + 0 + 7 + 6 + 563 = 666.

It is not a de Polignac number, because 135540076563 - 2² = 135540076559 is a prime.

It is a super-2 number, since 2×135540076563² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135540076583) 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 23 ways as a sum of consecutive naturals, for example, 744481 + ... + 908477.

It is an arithmetic number, because the mean of its divisors is an integer number (8231551614).

Almost surely, 2^135540076563 is an apocalyptic number.

135540076563 is a deficient number, since it is larger than the sum of its proper divisors (62017162173).

135540076563 is a wasteful number, since it uses less digits than its factorization.

135540076563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164835 (or 164832 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 135540076563 in words is "one hundred thirty-five billion, five hundred forty million, seventy-six thousand, five hundred sixty-three".