133148361025 has 81 divisors (see below), whose sum is σ = 183253818531. Its totient is φ = 95946950880.

The previous prime is 133148361011. The next prime is 133148361029. The reversal of 133148361025 is 520163841331.

The square root of 133148361025 is 364895.

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., 47933409969 + 85214951056 = 218937^2 + 291916^2 .

It is not a de Polignac number, because 133148361025 - 2¹⁷ = 133148229953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133148361029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 797295492 + ... + 797295658.

Almost surely, 2^133148361025 is an apocalyptic number.

133148361025 is the 364895-th square number.

133148361025 is the 182448-th centered octagonal number.

It is an amenable number.

133148361025 is a deficient number, since it is larger than the sum of its proper divisors (50105457506).

133148361025 is an equidigital number, since it uses as much as digits as its factorization.

133148361025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 133148361025 in words is "one hundred thirty-three billion, one hundred forty-eight million, three hundred sixty-one thousand, twenty-five".