133291342200 has 192 divisors, whose sum is σ = 438804057600. Its totient is φ = 33375283200.

The previous prime is 133291342193. The next prime is 133291342201. The reversal of 133291342200 is 2243192331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133291342201) 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, 1236465 + ... + 1339935.

It is an arithmetic number, because the mean of its divisors is an integer number (2285437800).

Almost surely, 2^133291342200 is an apocalyptic number.

133291342200 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 133291342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219402028800).

133291342200 is an abundant number, since it is smaller than the sum of its proper divisors (305512715400).

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

133291342200 is a wasteful number, since it uses less digits than its factorization.

133291342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103622 (or 103613 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 133291342200 in words is "one hundred thirty-three billion, two hundred ninety-one million, three hundred forty-two thousand, two hundred".