133331404800 has 1152 divisors, whose sum is σ = 519446753280. Its totient is φ = 29845094400.

The previous prime is 133331404733. The next prime is 133331404813. The reversal of 133331404800 is 8404133331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1826457564 + ... + 1826457636.

It is an arithmetic number, because the mean of its divisors is an integer number (450908640).

Almost surely, 2^133331404800 is an apocalyptic number.

133331404800 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 133331404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259723376640).

133331404800 is an abundant number, since it is smaller than the sum of its proper divisors (386115348480).

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

133331404800 is a wasteful number, since it uses less digits than its factorization.

133331404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 133331404800 in words is "one hundred thirty-three billion, three hundred thirty-one million, four hundred four thousand, eight hundred".