133017108480 has 252 divisors, whose sum is σ = 461289333960. Its totient is φ = 35458646016.

The previous prime is 133017108473. The next prime is 133017108541. The reversal of 133017108480 is 84801710331.

133017108480 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 171 + 0 + 8 + 480 = 666.

It is a super-2 number, since 2×133017108480² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 47184511 + ... + 47187329.

It is an arithmetic number, because the mean of its divisors is an integer number (1830513230).

Almost surely, 2^133017108480 is an apocalyptic number.

133017108480 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 133017108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230644666980).

133017108480 is an abundant number, since it is smaller than the sum of its proper divisors (328272225480).

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

133017108480 is an frugal number, since it uses more digits than its factorization.

133017108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2829 counting only the distinct ones).

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

The spelling of 133017108480 in words is "one hundred thirty-three billion, seventeen million, one hundred eight thousand, four hundred eighty".