135189317761 has 9 divisors (see below), whose sum is σ = 138144544321. Its totient is φ = 132296035972.

The previous prime is 135189317713. The next prime is 135189317801. The reversal of 135189317761 is 167713981531.

It is a happy number.

The square root of 135189317761 is 367681.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 135189317761 - 2¹⁷ = 135189186689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135189317699 and 135189317708.

It is not an unprimeable number, because it can be changed into a prime (135189317701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17277096 + ... + 17284918.

Almost surely, 2^135189317761 is an apocalyptic number.

135189317761 is the 367681-st square number.

135189317761 is the 183841-st centered octagonal number.

It is an amenable number.

135189317761 is a deficient number, since it is larger than the sum of its proper divisors (2955226560).

135189317761 is an frugal number, since it uses more digits than its factorization.

135189317761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15740 (or 7870 counting only the distinct ones).

The product of its digits is 952560, while the sum is 52.

The spelling of 135189317761 in words is "one hundred thirty-five billion, one hundred eighty-nine million, three hundred seventeen thousand, seven hundred sixty-one".