133826327280 has 200 divisors, whose sum is σ = 471167431152. Its totient is φ = 35198032896.

The previous prime is 133826327221. The next prime is 133826327303. The reversal of 133826327280 is 82723628331.

133826327280 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 2 + 632 + 7 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331587 + ... + 614493.

Almost surely, 2^133826327280 is an apocalyptic number.

133826327280 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 133826327280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235583715576).

133826327280 is an abundant number, since it is smaller than the sum of its proper divisors (337341103872).

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

133826327280 is a wasteful number, since it uses less digits than its factorization.

133826327280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283005 (or 282990 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 133826327280 in words is "one hundred thirty-three billion, eight hundred twenty-six million, three hundred twenty-seven thousand, two hundred eighty".