132840567729 has 21 divisors (see below), whose sum is σ = 199184495593. Its totient is φ = 88553817972.

The previous prime is 132840567707. The next prime is 132840567749. The reversal of 132840567729 is 927765048231.

It is a happy number.

The square root of 132840567729 is 364473.

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

132840567729 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 0 + 567 + 72 + 9 = 666.

It is not a de Polignac number, because 132840567729 - 2²⁷ = 132706350001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132840567749) 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 20 ways as a sum of consecutive naturals, for example, 9834022 + ... + 9847520.

It is a 1-persistent number, because it is pandigital, but 2⋅132840567729 = 265681135458 is not.

Almost surely, 2^132840567729 is an apocalyptic number.

132840567729 is the 364473-rd square number.

132840567729 is the 182237-th centered octagonal number.

It is an amenable number.

132840567729 is a deficient number, since it is larger than the sum of its proper divisors (66343927864).

132840567729 is an frugal number, since it uses more digits than its factorization.

132840567729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27016 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

It can be divided in two parts, 132840 and 567729, that added together give a square (700569 = 837²).

The spelling of 132840567729 in words is "one hundred thirty-two billion, eight hundred forty million, five hundred sixty-seven thousand, seven hundred twenty-nine".