133107418080 has 1296 divisors, whose sum is σ = 591876204192. Its totient is φ = 26998272000.

The previous prime is 133107418061. The next prime is 133107418109. The reversal of 133107418080 is 80814701331.

133107418080 is a `hidden beast` number, since 1 + 331 + 0 + 74 + 180 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 881506005 + ... + 881506155.

It is an arithmetic number, because the mean of its divisors is an integer number (456694602).

Almost surely, 2^133107418080 is an apocalyptic number.

133107418080 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 133107418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295938102096).

133107418080 is an abundant number, since it is smaller than the sum of its proper divisors (458768786112).

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

133107418080 is a wasteful number, since it uses less digits than its factorization.

133107418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 133107418080 in words is "one hundred thirty-three billion, one hundred seven million, four hundred eighteen thousand, eighty".