135777157 has 2 divisors, whose sum is σ = 135777158. Its totient is φ = 135777156.

The previous prime is 135777139. The next prime is 135777167. The reversal of 135777157 is 751777531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84382596 + 51394561 = 9186^2 + 7169^2 .

It is an emirp because it is prime and its reverse (751777531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135777157 - 2⁷ = 135777029 is a prime.

It is a super-3 number, since 3×135777157³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135777137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67888578 + 67888579.

It is an arithmetic number, because the mean of its divisors is an integer number (67888579).

Almost surely, 2^135777157 is an apocalyptic number.

It is an amenable number.

135777157 is a deficient number, since it is larger than the sum of its proper divisors (1).

135777157 is an equidigital number, since it uses as much as digits as its factorization.

135777157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180075, while the sum is 43.

The square root of 135777157 is about 11652.3455578695. The cubic root of 135777157 is about 513.9752860984.

The spelling of 135777157 in words is "one hundred thirty-five million, seven hundred seventy-seven thousand, one hundred fifty-seven".