133552852992 has 624 divisors, whose sum is σ = 447049708560. Its totient is φ = 38277218304.

The previous prime is 133552852987. The next prime is 133552853039. The reversal of 133552852992 is 299258255331.

133552852992 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 28 + 529 + 92 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76229001216 + 57323851776 = 276096^2 + 239424^2 .

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

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, 1376833488 + ... + 1376833584.

It is an arithmetic number, because the mean of its divisors is an integer number (716425815).

Almost surely, 2^133552852992 is an apocalyptic number.

133552852992 is a gapful number since it is divisible by the number (12) 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 133552852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223524854280).

133552852992 is an abundant number, since it is smaller than the sum of its proper divisors (313496855568).

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

133552852992 is an equidigital number, since it uses as much as digits as its factorization.

133552852992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 132 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 133552852992 in words is "one hundred thirty-three billion, five hundred fifty-two million, eight hundred fifty-two thousand, nine hundred ninety-two".