132641289 has 27 divisors (see below), whose sum is σ = 211199079. Its totient is φ = 80158320.

The previous prime is 132641233. The next prime is 132641291. The reversal of 132641289 is 982146231.

The square root of 132641289 is 11517.

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

132641289 is a `hidden beast` number, since 1 + 3 + 2 + 641 + 2 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97357689 + 35283600 = 9867^2 + 5940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-132641289 is a prime.

It is a super-3 number, since 3×132641289³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132661289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 379887 + ... + 380235.

Almost surely, 2^132641289 is an apocalyptic number.

132641289 is the 11517-th square number.

132641289 is the 5759-th centered octagonal number.

It is an amenable number.

132641289 is a deficient number, since it is larger than the sum of its proper divisors (78557790).

132641289 is an equidigital number, since it uses as much as digits as its factorization.

132641289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The cubic root of 132641289 is about 509.9875544829.

Multiplying 132641289 by its sum of digits (36), we get a square (4775086404 = 69102²).

Multiplying 132641289 by its product of digits (20736), we get a square (2750449768704 = 1658448²).

The spelling of 132641289 in words is "one hundred thirty-two million, six hundred forty-one thousand, two hundred eighty-nine".