133311402144 has 144 divisors (see below), whose sum is σ = 383832146880. Its totient is φ = 43884933120.

The previous prime is 133311402109. The next prime is 133311402149. The reversal of 133311402144 is 441204113331.

133311402144 is a `hidden beast` number, since 1 + 333 + 114 + 0 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (133311402149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13711717 + ... + 13721435.

It is an arithmetic number, because the mean of its divisors is an integer number (2665501020).

Almost surely, 2^133311402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133311402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191916073440).

133311402144 is an abundant number, since it is smaller than the sum of its proper divisors (250520744736).

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

133311402144 is a wasteful number, since it uses less digits than its factorization.

133311402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133311402144 its reverse (441204113331), we get a palindrome (574515515475).

The spelling of 133311402144 in words is "one hundred thirty-three billion, three hundred eleven million, four hundred two thousand, one hundred forty-four".