132252277009801 has 27 divisors (see below), whose sum is σ = 145969853613717. Its totient is φ = 119768471041440.

The previous prime is 132252277009717. The next prime is 132252277009819. The reversal of 132252277009801 is 108900772252231.

The square root of 132252277009801 is 11500099.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3432500995401 + 128819776014400 = 1852701^2 + 11349880^2 .

It is not a de Polignac number, because 132252277009801 - 2³⁹ = 131702521195913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132252277019801) 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, 7923559866 + ... + 7923576556.

Almost surely, 2^{132252277009801} is an apocalyptic number.

132252277009801 is the 11500099-th square number.

132252277009801 is the 5750050-th centered octagonal number.

It is an amenable number.

132252277009801 is a deficient number, since it is larger than the sum of its proper divisors (13717576603916).

132252277009801 is an frugal number, since it uses more digits than its factorization.

132252277009801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33514 (or 16757 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 132252277009801 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, two hundred seventy-seven million, nine thousand, eight hundred one".