133004352042 has 24 divisors (see below), whose sum is σ = 290110169700. Its totient is φ = 44037234240.

The previous prime is 133004352037. The next prime is 133004352071. The reversal of 133004352042 is 240253400331.

133004352042 is a `hidden beast` number, since 1 + 3 + 300 + 4 + 352 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128279301921 + 4725050121 = 358161^2 + 68739^2 .

It is a super-2 number, since 2×133004352042² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133004351997 and 133004352015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24793059 + ... + 24798422.

Almost surely, 2^133004352042 is an apocalyptic number.

133004352042 is an abundant number, since it is smaller than the sum of its proper divisors (157105817658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133004352042 is a wasteful number, since it uses less digits than its factorization.

133004352042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49591638 (or 49591635 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 133004352042 its reverse (240253400331), we get a palindrome (373257752373).

The spelling of 133004352042 in words is "one hundred thirty-three billion, four million, three hundred fifty-two thousand, forty-two".