132727417345 has 8 divisors (see below), whose sum is σ = 160849860840. Its totient is φ = 105130627200.

The previous prime is 132727417313. The next prime is 132727417349. The reversal of 132727417345 is 543714727231.

It can be written as a sum of positive squares in 4 ways, for example, as 68732584561 + 63994832784 = 262169^2 + 252972^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132727417345 - 2⁵ = 132727417313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132727417295 and 132727417304.

It is not an unprimeable number, because it can be changed into a prime (132727417349) 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 7 ways as a sum of consecutive naturals, for example, 131412780 + ... + 131413789.

It is an arithmetic number, because the mean of its divisors is an integer number (20106232605).

Almost surely, 2^132727417345 is an apocalyptic number.

It is an amenable number.

132727417345 is a deficient number, since it is larger than the sum of its proper divisors (28122443495).

132727417345 is a wasteful number, since it uses less digits than its factorization.

132727417345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262826675.

The product of its digits is 987840, while the sum is 46.

The spelling of 132727417345 in words is "one hundred thirty-two billion, seven hundred twenty-seven million, four hundred seventeen thousand, three hundred forty-five".