133561085220 has 192 divisors, whose sum is σ = 428631974400. Its totient is φ = 34501178880.

The previous prime is 133561085197. The next prime is 133561085221. The reversal of 133561085220 is 22580165331.

133561085220 is a `hidden beast` number, since 1 + 3 + 35 + 610 + 8 + 5 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133561085221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4560825 + ... + 4590015.

It is an arithmetic number, because the mean of its divisors is an integer number (2232458200).

Almost surely, 2^133561085220 is an apocalyptic number.

133561085220 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 133561085220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214315987200).

133561085220 is an abundant number, since it is smaller than the sum of its proper divisors (295070889180).

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

133561085220 is a wasteful number, since it uses less digits than its factorization.

133561085220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29475 (or 29467 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 133561085220 in words is "one hundred thirty-three billion, five hundred sixty-one million, eighty-five thousand, two hundred twenty".