1333132800 has 240 divisors, whose sum is σ = 4452505200. Its totient is φ = 351600640.

The previous prime is 1333132799. The next prime is 1333132807. The reversal of 1333132800 is 82313331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333132807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5721484 + ... + 5721716.

It is an arithmetic number, because the mean of its divisors is an integer number (18552105).

Almost surely, 2^1333132800 is an apocalyptic number.

1333132800 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 1333132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226252600).

1333132800 is an abundant number, since it is smaller than the sum of its proper divisors (3119372400).

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

1333132800 is a wasteful number, since it uses less digits than its factorization.

1333132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1333132800 is about 36512.0911480019. The cubic root of 1333132800 is about 1100.5872346585.

The spelling of 1333132800 in words is "one billion, three hundred thirty-three million, one hundred thirty-two thousand, eight hundred".