133966980225 has 81 divisors (see below), whose sum is σ = 259965741243. Its totient is φ = 65917837440.

The previous prime is 133966980223. The next prime is 133966980229. The reversal of 133966980225 is 522089669331.

The square root of 133966980225 is 366015.

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

133966980225 is a `hidden beast` number, since 1 + 339 + 6 + 6 + 9 + 80 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 115517734641 + 18449245584 = 339879^2 + 135828^2 .

It is not a de Polignac number, because 133966980225 - 2¹ = 133966980223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133966980223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71371987 + ... + 71373863.

Almost surely, 2^133966980225 is an apocalyptic number.

133966980225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133966980225 is the 366015-th square number.

133966980225 is the 183008-th centered octagonal number.

It is an amenable number.

133966980225 is a deficient number, since it is larger than the sum of its proper divisors (125998761018).

133966980225 is an equidigital number, since it uses as much as digits as its factorization.

133966980225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 133966980225 in words is "one hundred thirty-three billion, nine hundred sixty-six million, nine hundred eighty thousand, two hundred twenty-five".