133312144320 has 168 divisors, whose sum is σ = 458675933040. Its totient is φ = 35539230720.

The previous prime is 133312144309. The next prime is 133312144477. The reversal of 133312144320 is 23441213331.

It is a happy number.

133312144320 is a `hidden beast` number, since 1 + 3 + 331 + 2 + 1 + 4 + 4 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15925096 + ... + 15933464.

Almost surely, 2^133312144320 is an apocalyptic number.

133312144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133312144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229337966520).

133312144320 is an abundant number, since it is smaller than the sum of its proper divisors (325363788720).

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

133312144320 is a wasteful number, since it uses less digits than its factorization.

133312144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13923 (or 13910 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133312144320 its reverse (23441213331), we get a palindrome (156753357651).

The spelling of 133312144320 in words is "one hundred thirty-three billion, three hundred twelve million, one hundred forty-four thousand, three hundred twenty".