135977 has 2 divisors, whose sum is σ = 135978. Its totient is φ = 135976.

The previous prime is 135937. The next prime is 135979. The reversal of 135977 is 779531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 3481 = 364^2 + 59^2 .

It is an emirp because it is prime and its reverse (779531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135977 - 2⁶ = 135913 is a prime.

Together with 135979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (135979) 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 as a sum of consecutive naturals, namely, 67988 + 67989.

It is an arithmetic number, because the mean of its divisors is an integer number (67989).

2¹³⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

135977 is a deficient number, since it is larger than the sum of its proper divisors (1).

135977 is an equidigital number, since it uses as much as digits as its factorization.

135977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6615, while the sum is 32.

The square root of 135977 is about 368.7505932199. The cubic root of 135977 is about 51.4227326558.

The spelling of 135977 in words is "one hundred thirty-five thousand, nine hundred seventy-seven".