135661011345 has 12 divisors (see below), whose sum is σ = 235145753076. Its totient is φ = 72352539360.

The previous prime is 135661011331. The next prime is 135661011371. The reversal of 135661011345 is 543110166531.

135661011345 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 610 + 1 + 1 + 34 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76658658129 + 59002353216 = 276873^2 + 242904^2 .

It is not a de Polignac number, because 135661011345 - 2⁴ = 135661011329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1507344526 + ... + 1507344615.

It is an arithmetic number, because the mean of its divisors is an integer number (19595479423).

Almost surely, 2^135661011345 is an apocalyptic number.

135661011345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135661011345 is a deficient number, since it is larger than the sum of its proper divisors (99484741731).

135661011345 is a wasteful number, since it uses less digits than its factorization.

135661011345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014689152 (or 3014689149 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 135661011345 its reverse (543110166531), we get a palindrome (678771177876).

The spelling of 135661011345 in words is "one hundred thirty-five billion, six hundred sixty-one million, eleven thousand, three hundred forty-five".