133984255680 has 448 divisors, whose sum is σ = 516766210560. Its totient is φ = 32409907200.

The previous prime is 133984255679. The next prime is 133984255681. The reversal of 133984255680 is 86552489331.

133984255680 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 8 + 4 + 2 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (133984255679) and next prime (133984255681).

It is a super-2 number, since 2×133984255680² (a number of 23 digits) contains 22 as substring.

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 (133984255681) 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, 52936015 + ... + 52938545.

Almost surely, 2^133984255680 is an apocalyptic number.

133984255680 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 133984255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258383105280).

133984255680 is an abundant number, since it is smaller than the sum of its proper divisors (382781954880).

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

133984255680 is a wasteful number, since it uses less digits than its factorization.

133984255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 133984255680 in words is "one hundred thirty-three billion, nine hundred eighty-four million, two hundred fifty-five thousand, six hundred eighty".