133131576384 has 189 divisors, whose sum is σ = 399514591749. Its totient is φ = 42383531520.

The previous prime is 133131576371. The next prime is 133131576467. The reversal of 133131576384 is 483675131331.

The square root of 133131576384 is 364872.

It is a perfect power (a square), and thus also a powerful number.

133131576384 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 1 + 5 + 7 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105708216384 + 27423360000 = 325128^2 + 165600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201409014 + ... + 201409674.

Almost surely, 2^133131576384 is an apocalyptic number.

133131576384 is the 364872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133131576384

133131576384 is an abundant number, since it is smaller than the sum of its proper divisors (266383015365).

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

133131576384 is an frugal number, since it uses more digits than its factorization.

133131576384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 689 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 133131576384 in words is "one hundred thirty-three billion, one hundred thirty-one million, five hundred seventy-six thousand, three hundred eighty-four".