135959600529 has 27 divisors (see below), whose sum is σ = 198761393649. Its totient is φ = 89556413760.

The previous prime is 135959600507. The next prime is 135959600533. The reversal of 135959600529 is 925006959531.

It is a happy number.

The square root of 135959600529 is 368727.

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

135959600529 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 5 + 9 + 600 + 5 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18461472129 + 117498128400 = 135873^2 + 342780^2 .

It is not a de Polignac number, because 135959600529 - 2³³ = 127369665937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135959600729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98449419 + ... + 98450799.

Almost surely, 2^135959600529 is an apocalyptic number.

135959600529 is the 368727-th square number.

135959600529 is the 184364-th centered octagonal number.

It is an amenable number.

135959600529 is a deficient number, since it is larger than the sum of its proper divisors (62801793120).

135959600529 is an frugal number, since it uses more digits than its factorization.

135959600529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

The spelling of 135959600529 in words is "one hundred thirty-five billion, nine hundred fifty-nine million, six hundred thousand, five hundred twenty-nine".