133809159031920 has 360 divisors, whose sum is σ = 470765461800816. Its totient is φ = 35366652905472.

The previous prime is 133809159031897. The next prime is 133809159031927. The reversal of 133809159031920 is 29130951908331.

133809159031920 is a `hidden beast` number, since 1 + 3 + 38 + 0 + 9 + 1 + 590 + 3 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (133809159031927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58183419 + ... + 60439461.

Almost surely, 2^{133809159031920} is an apocalyptic number.

133809159031920 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 133809159031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235382730900408).

133809159031920 is an abundant number, since it is smaller than the sum of its proper divisors (336956302768896).

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

133809159031920 is an equidigital number, since it uses as much as digits as its factorization.

133809159031920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256193 (or 2256166 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 133809159031920 in words is "one hundred thirty-three trillion, eight hundred nine billion, one hundred fifty-nine million, thirty-one thousand, nine hundred twenty".