133042320144 has 240 divisors, whose sum is σ = 415720356480. Its totient is φ = 39471943680.

The previous prime is 133042320109. The next prime is 133042320181. The reversal of 133042320144 is 441023240331.

133042320144 is a `hidden beast` number, since 1 + 3 + 30 + 423 + 201 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30091054 + ... + 30095474.

It is an arithmetic number, because the mean of its divisors is an integer number (1732168152).

Almost surely, 2^133042320144 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 133042320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207860178240).

133042320144 is an abundant number, since it is smaller than the sum of its proper divisors (282678036336).

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

133042320144 is a wasteful number, since it uses less digits than its factorization.

133042320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 133042320144 its reverse (441023240331), we get a palindrome (574065560475).

The spelling of 133042320144 in words is "one hundred thirty-three billion, forty-two million, three hundred twenty thousand, one hundred forty-four".