133821173760 has 416 divisors, whose sum is σ = 450303173760. Its totient is φ = 33913700352.

The previous prime is 133821173741. The next prime is 133821173821. The reversal of 133821173760 is 67371128331.

It is a super-2 number, since 2×133821173760² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3112120299 + ... + 3112120341.

Almost surely, 2^133821173760 is an apocalyptic number.

133821173760 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 133821173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225151586880).

133821173760 is an abundant number, since it is smaller than the sum of its proper divisors (316482000000).

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

133821173760 is an frugal number, since it uses more digits than its factorization.

133821173760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 133821173760 in words is "one hundred thirty-three billion, eight hundred twenty-one million, one hundred seventy-three thousand, seven hundred sixty".