135577 has 4 divisors (see below), whose sum is σ = 146020. Its totient is φ = 125136.

The previous prime is 135571. The next prime is 135581. The reversal of 135577 is 775531.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 47961 = 296^2 + 219^2 .

It is a cyclic number.

It is not a de Polignac number, because 135577 - 2⁷ = 135449 is a prime.

It is a super-2 number, since 2×135577² = 36762245858, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (135571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5202 + ... + 5227.

It is an arithmetic number, because the mean of its divisors is an integer number (36505).

2¹³⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

135577 is a deficient number, since it is larger than the sum of its proper divisors (10443).

135577 is a wasteful number, since it uses less digits than its factorization.

135577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442.

The product of its digits is 3675, while the sum is 28.

The square root of 135577 is about 368.2078217529. The cubic root of 135577 is about 51.3722601610.

The spelling of 135577 in words is "one hundred thirty-five thousand, five hundred seventy-seven".