33134004322144 has 72 divisors (see below), whose sum is σ = 71704017451080. Its totient is φ = 15060469839360.

The previous prime is 33134004322079. The next prime is 33134004322151. The reversal of 33134004322144 is 44122340043133.

It is a congruent number.

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, 157729372 + ... + 157939300.

It is an arithmetic number, because the mean of its divisors is an integer number (995889131265).

Almost surely, 2^{33134004322144} is an apocalyptic number.

It is an amenable number.

33134004322144 is an abundant number, since it is smaller than the sum of its proper divisors (38570013128936).

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

33134004322144 is a wasteful number, since it uses less digits than its factorization.

33134004322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250724 (or 250705 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 33134004322144 its reverse (44122340043133), we get a palindrome (77256344365277).

The spelling of 33134004322144 in words is "thirty-three trillion, one hundred thirty-four billion, four million, three hundred twenty-two thousand, one hundred forty-four".