133584402064 has 15 divisors (see below), whose sum is σ = 258822611593. Its totient is φ = 66791470048.

The previous prime is 133584402059. The next prime is 133584402071. The reversal of 133584402064 is 460204485331.

The square root of 133584402064 is 365492.

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., 132597939600 + 986462464 = 364140^2 + 31408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1416282 + ... + 1507654.

Almost surely, 2^133584402064 is an apocalyptic number.

133584402064 is the 365492-nd square number.

It is an amenable number.

133584402064 is a deficient number, since it is larger than the sum of its proper divisors (125238209529).

133584402064 is an frugal number, since it uses more digits than its factorization.

133584402064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182754 (or 91375 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 133584402064 its reverse (460204485331), we get a palindrome (593788887395).

The spelling of 133584402064 in words is "one hundred thirty-three billion, five hundred eighty-four million, four hundred two thousand, sixty-four".