133004675440 has 160 divisors (see below), whose sum is σ = 382084295040. Its totient is φ = 41929408512.

The previous prime is 133004675411. The next prime is 133004675449. The reversal of 133004675440 is 44576400331.

133004675440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 133004675440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133004675449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835416 + ... + 1906504.

It is an arithmetic number, because the mean of its divisors is an integer number (2388026844).

Almost surely, 2^133004675440 is an apocalyptic number.

133004675440 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 133004675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191042147520).

133004675440 is an abundant number, since it is smaller than the sum of its proper divisors (249079619600).

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

133004675440 is a wasteful number, since it uses less digits than its factorization.

133004675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71379 (or 71373 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 133004675440 in words is "one hundred thirty-three billion, four million, six hundred seventy-five thousand, four hundred forty".