135006561 has 16 divisors (see below), whose sum is σ = 200329920. Its totient is φ = 89860320.

The previous prime is 135006539. The next prime is 135006569. The reversal of 135006561 is 165600531.

It is a happy number.

135006561 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 656 + 1 = 666.

It is not a de Polignac number, because 135006561 - 2⁷ = 135006433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135006569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14781 + ... + 22101.

It is an arithmetic number, because the mean of its divisors is an integer number (12520620).

Almost surely, 2^135006561 is an apocalyptic number.

It is an amenable number.

135006561 is a deficient number, since it is larger than the sum of its proper divisors (65323359).

135006561 is an equidigital number, since it uses as much as digits as its factorization.

135006561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8013 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135006561 is about 11619.2323756778. The cubic root of 135006561 is about 513.0010943515.

The spelling of 135006561 in words is "one hundred thirty-five million, six thousand, five hundred sixty-one".