135683511650775 has 48 divisors (see below), whose sum is σ = 271915239525120. Its totient is φ = 65785945039200.

The previous prime is 135683511650761. The next prime is 135683511650779. The reversal of 135683511650775 is 577056115386531.

135683511650775 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 3 + 5 + 116 + 507 + 7 + 5 = 666.

It is not a de Polignac number, because 135683511650775 - 2⁷ = 135683511650647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135683511650779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9136929387 + ... + 9136944236.

It is an arithmetic number, because the mean of its divisors is an integer number (5664900823440).

Almost surely, 2^{135683511650775} is an apocalyptic number.

135683511650775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135683511650775 is an abundant number, since it is smaller than the sum of its proper divisors (136231727874345).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135683511650775 is a wasteful number, since it uses less digits than its factorization.

135683511650775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18273873653 (or 18273873642 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 63.

The spelling of 135683511650775 in words is "one hundred thirty-five trillion, six hundred eighty-three billion, five hundred eleven million, six hundred fifty thousand, seven hundred seventy-five".