133122566880 has 240 divisors, whose sum is σ = 479809915200. Its totient is φ = 34743886848.

The previous prime is 133122566851. The next prime is 133122566897. The reversal of 133122566880 is 88665221331.

133122566880 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 2 + 566 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 499846 + ... + 718394.

It is an arithmetic number, because the mean of its divisors is an integer number (1999207980).

Almost surely, 2^133122566880 is an apocalyptic number.

133122566880 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 133122566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904957600).

133122566880 is an abundant number, since it is smaller than the sum of its proper divisors (346687348320).

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

133122566880 is a wasteful number, since it uses less digits than its factorization.

133122566880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218623 (or 218606 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 133122566880 in words is "one hundred thirty-three billion, one hundred twenty-two million, five hundred sixty-six thousand, eight hundred eighty".