133013406240 has 1152 divisors, whose sum is σ = 560477159424. Its totient is φ = 28283904000.

The previous prime is 133013406217. The next prime is 133013406257. The reversal of 133013406240 is 42604310331.

133013406240 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 34 + 0 + 624 + 0 = 666.

133013406240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 427695685 + ... + 427695995.

It is an arithmetic number, because the mean of its divisors is an integer number (486525312).

Almost surely, 2^133013406240 is an apocalyptic number.

133013406240 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 133013406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280238579712).

133013406240 is an abundant number, since it is smaller than the sum of its proper divisors (427463753184).

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

133013406240 is a wasteful number, since it uses less digits than its factorization.

133013406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

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

Adding to 133013406240 its reverse (42604310331), we get a palindrome (175617716571).

The spelling of 133013406240 in words is "one hundred thirty-three billion, thirteen million, four hundred six thousand, two hundred forty".