135717129 has 12 divisors (see below), whose sum is σ = 202796100. Its totient is φ = 87357984.

The previous prime is 135717121. The next prime is 135717161. The reversal of 135717129 is 921717531.

135717129 is a `hidden beast` number, since 13 + 571 + 71 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65610000 + 70107129 = 8100^2 + 8373^2 .

It is not a de Polignac number, because 135717129 - 2³ = 135717121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135717093 and 135717102.

It is not an unprimeable number, because it can be changed into a prime (135717121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259734 + ... + 260255.

It is an arithmetic number, because the mean of its divisors is an integer number (16899675).

Almost surely, 2^135717129 is an apocalyptic number.

It is an amenable number.

135717129 is a deficient number, since it is larger than the sum of its proper divisors (67078971).

135717129 is a wasteful number, since it uses less digits than its factorization.

135717129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520024 (or 520021 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 135717129 is about 11649.7694826979. The cubic root of 135717129 is about 513.8995309493.

The spelling of 135717129 in words is "one hundred thirty-five million, seven hundred seventeen thousand, one hundred twenty-nine".