133208483394960 has 240 divisors, whose sum is σ = 473772565833840. Its totient is φ = 33425738956800.

The previous prime is 133208483394923. The next prime is 133208483395061. The reversal of 133208483394960 is 69493384802331.

133208483394960 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 8 + 483 + 3 + 94 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12127861970064 + 121080621424896 = 3482508^2 + 11003664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57630826 + ... + 59897654.

It is an arithmetic number, because the mean of its divisors is an integer number (1974052357641).

Almost surely, 2^{133208483394960} is an apocalyptic number.

133208483394960 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 133208483394960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236886282916920).

133208483394960 is an abundant number, since it is smaller than the sum of its proper divisors (340564082438880).

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

133208483394960 is a wasteful number, since it uses less digits than its factorization.

133208483394960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271666 (or 2271657 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 133208483394960 in words is "one hundred thirty-three trillion, two hundred eight billion, four hundred eighty-three million, three hundred ninety-four thousand, nine hundred sixty".