133302882800 has 120 divisors (see below), whose sum is σ = 340905524400. Its totient is φ = 49946941440.

The previous prime is 133302882773. The next prime is 133302882809. The reversal of 133302882800 is 8288203331.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133302882809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577862 + ... + 774938.

It is an arithmetic number, because the mean of its divisors is an integer number (2840879370).

Almost surely, 2^133302882800 is an apocalyptic number.

133302882800 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 133302882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170452762200).

133302882800 is an abundant number, since it is smaller than the sum of its proper divisors (207602641600).

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

133302882800 is a wasteful number, since it uses less digits than its factorization.

133302882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197203 (or 197192 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 133302882800 in words is "one hundred thirty-three billion, three hundred two million, eight hundred eighty-two thousand, eight hundred".