133332400242304 has 64 divisors (see below), whose sum is σ = 269614010211840. Its totient is φ = 65664764706816.

The previous prime is 133332400242263. The next prime is 133332400242311. The reversal of 133332400242304 is 403242004233331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×133332400242304² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133332400242304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87604032 + ... + 89113024.

It is an arithmetic number, because the mean of its divisors is an integer number (4212718909560).

Almost surely, 2^{133332400242304} 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 133332400242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134807005105920).

133332400242304 is an abundant number, since it is smaller than the sum of its proper divisors (136281609969536).

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

133332400242304 is a wasteful number, since it uses less digits than its factorization.

133332400242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519377 (or 1519365 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 133332400242304 its reverse (403242004233331), we get a palindrome (536574404475635).

The spelling of 133332400242304 in words is "one hundred thirty-three trillion, three hundred thirty-two billion, four hundred million, two hundred forty-two thousand, three hundred four".