135041561361 has 24 divisors (see below), whose sum is σ = 228110076480. Its totient is φ = 75372032736.

The previous prime is 135041561353. The next prime is 135041561371. The reversal of 135041561361 is 163165140531.

135041561361 is a `hidden beast` number, since 1 + 3 + 50 + 41 + 561 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 135041561361 - 2³ = 135041561353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135041561341) 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, 24921906 + ... + 24927323.

It is an arithmetic number, because the mean of its divisors is an integer number (9504586520).

Almost surely, 2^135041561361 is an apocalyptic number.

It is an amenable number.

135041561361 is a deficient number, since it is larger than the sum of its proper divisors (93068515119).

135041561361 is a wasteful number, since it uses less digits than its factorization.

135041561361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49849285 (or 49849282 counting only the distinct ones).

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

The spelling of 135041561361 in words is "one hundred thirty-five billion, forty-one million, five hundred sixty-one thousand, three hundred sixty-one".