133187772601 has 27 divisors (see below), whose sum is σ = 146756011311. Its totient is φ = 120818556144.

The previous prime is 133187772593. The next prime is 133187772607. The reversal of 133187772601 is 106277781331.

The square root of 133187772601 is 364949.

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

It can be written as a sum of positive squares in only one way, i.e., 19702333225 + 113485439376 = 140365^2 + 336876^2 .

It is not a de Polignac number, because 133187772601 - 2³ = 133187772593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133187772607) 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, 317870370 + ... + 317870788.

Almost surely, 2^133187772601 is an apocalyptic number.

133187772601 is the 364949-th square number.

133187772601 is the 182475-th centered octagonal number.

It is an amenable number.

133187772601 is a deficient number, since it is larger than the sum of its proper divisors (13568238710).

133187772601 is an frugal number, since it uses more digits than its factorization.

133187772601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The spelling of 133187772601 in words is "one hundred thirty-three billion, one hundred eighty-seven million, seven hundred seventy-two thousand, six hundred one".