133243701600 has 576 divisors, whose sum is σ = 500142988800. Its totient is φ = 30583848960.

The previous prime is 133243701587. The next prime is 133243701653. The reversal of 133243701600 is 6107342331.

133243701600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22477837 + ... + 22483763.

It is an arithmetic number, because the mean of its divisors is an integer number (868303800).

Almost surely, 2^133243701600 is an apocalyptic number.

133243701600 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 133243701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250071494400).

133243701600 is an abundant number, since it is smaller than the sum of its proper divisors (366899287200).

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

133243701600 is a wasteful number, since it uses less digits than its factorization.

133243701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 133243701600 in words is "one hundred thirty-three billion, two hundred forty-three million, seven hundred one thousand, six hundred".