133042004244144 has 80 divisors (see below), whose sum is σ = 391193969171040. Its totient is φ = 43265692431360.

The previous prime is 133042004244133. The next prime is 133042004244157. The reversal of 133042004244144 is 441442400240331.

133042004244144 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 4 + 200 + 4 + 2 + 441 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133042004244099 and 133042004244108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3755684757 + ... + 3755720180.

It is an arithmetic number, because the mean of its divisors is an integer number (4889924614638).

Almost surely, 2^{133042004244144} is an apocalyptic number.

It is an amenable number.

133042004244144 is an abundant number, since it is smaller than the sum of its proper divisors (258151964926896).

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

133042004244144 is a wasteful number, since it uses less digits than its factorization.

133042004244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511404995 (or 7511404983 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 133042004244144 its reverse (441442400240331), we get a palindrome (574484404484475).

The spelling of 133042004244144 in words is "one hundred thirty-three trillion, forty-two billion, four million, two hundred forty-four thousand, one hundred forty-four".