133831885824 has 1320 divisors, whose sum is σ = 533666410200. Its totient is φ = 32997113856.

The previous prime is 133831885793. The next prime is 133831885829. The reversal of 133831885824 is 428588138331.

133831885824 is a `hidden beast` number, since 1 + 3 + 383 + 188 + 5 + 82 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2149991424 + 131681894400 = 46368^2 + 362880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133831885829) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 898200502 + ... + 898200650.

It is an arithmetic number, because the mean of its divisors is an integer number (404292735).

Almost surely, 2^133831885824 is an apocalyptic number.

133831885824 is a gapful number since it is divisible by the number (14) 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 133831885824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266833205100).

133831885824 is an abundant number, since it is smaller than the sum of its proper divisors (399834524376).

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

133831885824 is a wasteful number, since it uses less digits than its factorization.

133831885824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 133831885824 in words is "one hundred thirty-three billion, eight hundred thirty-one million, eight hundred eighty-five thousand, eight hundred twenty-four".