135777 has 4 divisors (see below), whose sum is σ = 181040. Its totient is φ = 90516.

The previous prime is 135757. The next prime is 135781. The reversal of 135777 is 777531.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 777531 = 3 ⋅259177.

It is not a de Polignac number, because 135777 - 2⁷ = 135649 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135777.

It is not an unprimeable number, because it can be changed into a prime (135727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22627 + ... + 22632.

It is an arithmetic number, because the mean of its divisors is an integer number (45260).

2¹³⁵⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

135777 is a deficient number, since it is larger than the sum of its proper divisors (45263).

135777 is an equidigital number, since it uses as much as digits as its factorization.

135777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45262.

The product of its digits is 5145, while the sum is 30.

The square root of 135777 is about 368.4793074244. The cubic root of 135777 is about 51.3975087994.

It can be divided in two parts, 1 and 35777, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 135777 in words is "one hundred thirty-five thousand, seven hundred seventy-seven".