132768385 has 16 divisors (see below), whose sum is σ = 171012816. Its totient is φ = 98592768.

The previous prime is 132768379. The next prime is 132768421. The reversal of 132768385 is 583867231.

It can be written as a sum of positive squares in 8 ways, for example, as 24275329 + 108493056 = 4927^2 + 10416^2 .

It is a cyclic number.

It is not a de Polignac number, because 132768385 - 2¹³ = 132760193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4494 + ... + 16903.

It is an arithmetic number, because the mean of its divisors is an integer number (10688301).

Almost surely, 2^132768385 is an apocalyptic number.

It is an amenable number.

132768385 is a deficient number, since it is larger than the sum of its proper divisors (38244431).

132768385 is a wasteful number, since it uses less digits than its factorization.

132768385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21492.

The product of its digits is 241920, while the sum is 43.

The square root of 132768385 is about 11522.5164352237. The cubic root of 132768385 is about 510.1503913773.

The spelling of 132768385 in words is "one hundred thirty-two million, seven hundred sixty-eight thousand, three hundred eighty-five".