133576361361 has 15 divisors (see below), whose sum is σ = 199544910411. Its totient is φ = 89048714688.

The previous prime is 133576361339. The next prime is 133576361417. The reversal of 133576361361 is 163163675331.

The square root of 133576361361 is 365481.

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

133576361361 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 7 + 636 + 1 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27899354961 + 105677006400 = 167031^2 + 325080^2 .

It is not a de Polignac number, because 133576361361 - 2¹⁵ = 133576328593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133576369361) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3269025 + ... + 3309633.

Almost surely, 2^133576361361 is an apocalyptic number.

133576361361 is the 365481-st square number.

133576361361 is the 182741-st centered octagonal number.

It is an amenable number.

133576361361 is a deficient number, since it is larger than the sum of its proper divisors (65968549050).

133576361361 is an frugal number, since it uses more digits than its factorization.

133576361361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81230 (or 40612 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

It can be divided in two parts, 1335763 and 61361, that added together give a square (1397124 = 1182²).

The spelling of 133576361361 in words is "one hundred thirty-three billion, five hundred seventy-six million, three hundred sixty-one thousand, three hundred sixty-one".