135165787201 has 3 divisors (see below), whose sum is σ = 135166154851. Its totient is φ = 135165419552.

The previous prime is 135165787153. The next prime is 135165787213. The reversal of 135165787201 is 102787561531.

The square root of 135165787201 is 367649.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 102787561531 = 163 ⋅630598537.

It can be written as a sum of positive squares in only one way, i.e., 17516787201 + 117649000000 = 132351^2 + 343000^2 .

It is not a de Polignac number, because 135165787201 - 2¹⁹ = 135165262913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135165787241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 183825 + ... + 551473.

Almost surely, 2^135165787201 is an apocalyptic number.

135165787201 is the 367649-th square number.

135165787201 is the 183825-th centered octagonal number.

It is an amenable number.

135165787201 is a deficient number, since it is larger than the sum of its proper divisors (367650).

135165787201 is an frugal number, since it uses more digits than its factorization.

135165787201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735298 (or 367649 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 135165787201 in words is "one hundred thirty-five billion, one hundred sixty-five million, seven hundred eighty-seven thousand, two hundred one".