133095220346880 has 3584 divisors, whose sum is σ = 568132834377600. Its totient is φ = 29557260288000.

The previous prime is 133095220346861. The next prime is 133095220346887. The reversal of 133095220346880 is 88643022590331.

133095220346880 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 9 + 522 + 0 + 34 + 6 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133095220346887) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1317774458830 + ... + 1317774458930.

Almost surely, 2^{133095220346880} is an apocalyptic number.

133095220346880 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 133095220346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284066417188800).

133095220346880 is an abundant number, since it is smaller than the sum of its proper divisors (435037614030720).

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

133095220346880 is an equidigital number, since it uses as much as digits as its factorization.

133095220346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 133095220346880 in words is "one hundred thirty-three trillion, ninety-five billion, two hundred twenty million, three hundred forty-six thousand, eight hundred eighty".