133442354452000 has 768 divisors, whose sum is σ = 369160436736000. Its totient is φ = 46985702400000.

The previous prime is 133442354451983. The next prime is 133442354452003. The reversal of 133442354452000 is 254453244331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (133442354452003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243953115727 + ... + 243953116273.

It is an arithmetic number, because the mean of its divisors is an integer number (480677652000).

Almost surely, 2^{133442354452000} is an apocalyptic number.

133442354452000 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 133442354452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184580218368000).

133442354452000 is an abundant number, since it is smaller than the sum of its proper divisors (235718082284000).

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

133442354452000 is a wasteful number, since it uses less digits than its factorization.

133442354452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 133442354452000 in words is "one hundred thirty-three trillion, four hundred forty-two billion, three hundred fifty-four million, four hundred fifty-two thousand".