133728361 has 8 divisors (see below), whose sum is σ = 144934664. Its totient is φ = 122653440.

The previous prime is 133728313. The next prime is 133728379. The reversal of 133728361 is 163827331.

It can be written as a sum of positive squares in 4 ways, for example, as 2190400 + 131537961 = 1480^2 + 11469^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133728361 - 2²⁵ = 100173929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133728391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30720 + ... + 34801.

It is an arithmetic number, because the mean of its divisors is an integer number (18116833).

Almost surely, 2^133728361 is an apocalyptic number.

It is an amenable number.

133728361 is a deficient number, since it is larger than the sum of its proper divisors (11206303).

133728361 is a wasteful number, since it uses less digits than its factorization.

133728361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65691.

The product of its digits is 18144, while the sum is 34.

The square root of 133728361 is about 11564.0979328264. The cubic root of 133728361 is about 511.3769798751.

The spelling of 133728361 in words is "one hundred thirty-three million, seven hundred twenty-eight thousand, three hundred sixty-one".