133286743040 has 176 divisors, whose sum is σ = 350962571520. Its totient is φ = 48167239680.

The previous prime is 133286743039. The next prime is 133286743049. The reversal of 133286743040 is 40347682331.

133286743040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (133286743049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9172901 + ... + 9187419.

It is an arithmetic number, because the mean of its divisors is an integer number (1994105520).

Almost surely, 2^133286743040 is an apocalyptic number.

133286743040 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 133286743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175481285760).

133286743040 is an abundant number, since it is smaller than the sum of its proper divisors (217675828480).

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

133286743040 is a wasteful number, since it uses less digits than its factorization.

133286743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718 (or 14700 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 133286743040 in words is "one hundred thirty-three billion, two hundred eighty-six million, seven hundred forty-three thousand, forty".