133354990080 has 240 divisors, whose sum is σ = 497373556680. Its totient is φ = 32825769984.

The previous prime is 133354990049. The next prime is 133354990123. The reversal of 133354990080 is 80099453331.

133354990080 is a `hidden beast` number, since 13 + 3 + 3 + 549 + 90 + 0 + 8 + 0 = 666.

133354990080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73263331584 + 60091658496 = 270672^2 + 245136^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76906 + ... + 522134.

Almost surely, 2^133354990080 is an apocalyptic number.

133354990080 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 133354990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248686778340).

133354990080 is an abundant number, since it is smaller than the sum of its proper divisors (364018566600).

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

133354990080 is a wasteful number, since it uses less digits than its factorization.

133354990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445271 (or 445252 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 133354990080 in words is "one hundred thirty-three billion, three hundred fifty-four million, nine hundred ninety thousand, eighty".