133824210144 has 48 divisors (see below), whose sum is σ = 363401957520. Its totient is φ = 43069859840.

The previous prime is 133824210133. The next prime is 133824210181. The reversal of 133824210144 is 441012428331.

133824210144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24031737 + ... + 24037304.

It is an arithmetic number, because the mean of its divisors is an integer number (7570874115).

Almost surely, 2^133824210144 is an apocalyptic number.

It is an amenable number.

133824210144 is an abundant number, since it is smaller than the sum of its proper divisors (229577747376).

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

133824210144 is a wasteful number, since it uses less digits than its factorization.

133824210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48069083 (or 48069075 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 133824210144 its reverse (441012428331), we get a palindrome (574836638475).

The spelling of 133824210144 in words is "one hundred thirty-three billion, eight hundred twenty-four million, two hundred ten thousand, one hundred forty-four".