133396378570225 has 81 divisors (see below), whose sum is σ = 171560985004227. Its totient is φ = 102889844069760.

The previous prime is 133396378570201. The next prime is 133396378570237. The reversal of 133396378570225 is 522075873693331.

The square root of 133396378570225 is 11549735.

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

It can be written as a sum of positive squares in 13 ways, for example, as 82921548940129 + 50474829630096 = 9106127^2 + 7104564^2 .

It is not a de Polignac number, because 133396378570225 - 2²⁹ = 133395841699313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 318368445066 + ... + 318368445484.

Almost surely, 2^{133396378570225} is an apocalyptic number.

133396378570225 is the 11549735-th square number.

133396378570225 is the 5774868-th centered octagonal number.

It is an amenable number.

133396378570225 is a deficient number, since it is larger than the sum of its proper divisors (38164606434002).

133396378570225 is an frugal number, since it uses more digits than its factorization.

133396378570225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 64.

The spelling of 133396378570225 in words is "one hundred thirty-three trillion, three hundred ninety-six billion, three hundred seventy-eight million, five hundred seventy thousand, two hundred twenty-five".