133328742400 has 576 divisors, whose sum is σ = 406548979200. Its totient is φ = 42325770240.

The previous prime is 133328742377. The next prime is 133328742409. The reversal of 133328742400 is 4247823331.

It is a self number, because there is not a number n which added to its sum of digits gives 133328742400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133328742409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481331062 + ... + 481331338.

It is an arithmetic number, because the mean of its divisors is an integer number (705814200).

Almost surely, 2^133328742400 is an apocalyptic number.

133328742400 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 133328742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203274489600).

133328742400 is an abundant number, since it is smaller than the sum of its proper divisors (273220236800).

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

133328742400 is a wasteful number, since it uses less digits than its factorization.

133328742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 133328742400 in words is "one hundred thirty-three billion, three hundred twenty-eight million, seven hundred forty-two thousand, four hundred".