135998115683329 has 27 divisors (see below), whose sum is σ = 139280616591753. Its totient is φ = 132792525438912.

The previous prime is 135998115683321. The next prime is 135998115683357. The reversal of 135998115683329 is 923386511899531.

The square root of 135998115683329 is 11661823.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29999971791729 + 105998143891600 = 5477223^2 + 10295540^2 .

It is not a de Polignac number, because 135998115683329 - 2³ = 135998115683321 is a prime.

It is a super-3 number, since 3×135998115683329³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135998115683321) 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 26 ways as a sum of consecutive naturals, for example, 91090498707 + ... + 91090500199.

Almost surely, 2^{135998115683329} is an apocalyptic number.

135998115683329 is the 11661823-rd square number.

135998115683329 is the 5830912-nd centered octagonal number.

It is an amenable number.

135998115683329 is a deficient number, since it is larger than the sum of its proper divisors (3282500908424).

135998115683329 is an frugal number, since it uses more digits than its factorization.

135998115683329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 1673 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 73.

The spelling of 135998115683329 in words is "one hundred thirty-five trillion, nine hundred ninety-eight billion, one hundred fifteen million, six hundred eighty-three thousand, three hundred twenty-nine".