132201003132224 has 56 divisors (see below), whose sum is σ = 282615673754568. Its totient is φ = 60994339338240.

The previous prime is 132201003132203. The next prime is 132201003132229. The reversal of 132201003132224 is 422231300102231.

It can be written as a sum of positive squares in 4 ways, for example, as 15443642425600 + 116757360706624 = 3929840^2 + 10805432^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 132201003132193 and 132201003132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201003132229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25643747 + ... + 30364514.

It is an arithmetic number, because the mean of its divisors is an integer number (5046708459903).

Almost surely, 2^{132201003132224} is an apocalyptic number.

It is an amenable number.

132201003132224 is an abundant number, since it is smaller than the sum of its proper divisors (150414670622344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132201003132224 is a wasteful number, since it uses less digits than its factorization.

132201003132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56011123 (or 56011113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 132201003132224 its reverse (422231300102231), we get a palindrome (554432303234455).

The spelling of 132201003132224 in words is "one hundred thirty-two trillion, two hundred one billion, three million, one hundred thirty-two thousand, two hundred twenty-four".