133082553242880 has 3024 divisors, whose sum is σ = 531896376634560. Its totient is φ = 31790696693760.

The previous prime is 133082553242879. The next prime is 133082553242887. The reversal of 133082553242880 is 88242355280331.

133082553242880 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 8 + 2 + 5 + 532 + 4 + 28 + 80 = 666.

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 (133082553242887) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1243762179787 + ... + 1243762179893.

It is an arithmetic number, because the mean of its divisors is an integer number (175891658940).

Almost surely, 2^{133082553242880} is an apocalyptic number.

133082553242880 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 133082553242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265948188317280).

133082553242880 is an abundant number, since it is smaller than the sum of its proper divisors (398813823391680).

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

133082553242880 is an equidigital number, since it uses as much as digits as its factorization.

133082553242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 133082553242880 in words is "one hundred thirty-three trillion, eighty-two billion, five hundred fifty-three million, two hundred forty-two thousand, eight hundred eighty".