133807855288320 has 840 divisors, whose sum is σ = 484172508215760. Its totient is φ = 35482089553920.

The previous prime is 133807855288319. The next prime is 133807855288321. The reversal of 133807855288320 is 23882558708331.

It is a happy number.

133807855288320 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 0 + 7 + 8 + 5 + 528 + 83 + 20 = 666.

133807855288320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133807855288319) and next prime (133807855288321).

It is not an unprimeable number, because it can be changed into a prime (133807855288321) 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 55 ways as a sum of consecutive naturals, for example, 10809255891 + ... + 10809268269.

It is an arithmetic number, because the mean of its divisors is an integer number (576395843114).

Almost surely, 2^{133807855288320} is an apocalyptic number.

133807855288320 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 133807855288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242086254107880).

133807855288320 is an abundant number, since it is smaller than the sum of its proper divisors (350364652927440).

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

133807855288320 is an frugal number, since it uses more digits than its factorization.

133807855288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12611 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

It can be divided in two parts, 13380785 and 5288320, that added together give a triangular number (18669105 = T₆₁₁₀).

The spelling of 133807855288320 in words is "one hundred thirty-three trillion, eight hundred seven billion, eight hundred fifty-five million, two hundred eighty-eight thousand, three hundred twenty".