133616116480 has 576 divisors, whose sum is σ = 413836416000. Its totient is φ = 40967700480.

The previous prime is 133616116421. The next prime is 133616116481. The reversal of 133616116480 is 84611616331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (133616116481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352548931 + ... + 352549309.

It is an arithmetic number, because the mean of its divisors is an integer number (718466000).

Almost surely, 2^133616116480 is an apocalyptic number.

133616116480 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 133616116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206918208000).

133616116480 is an abundant number, since it is smaller than the sum of its proper divisors (280220299520).

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

133616116480 is an equidigital number, since it uses as much as digits as its factorization.

133616116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 133616116480 in words is "one hundred thirty-three billion, six hundred sixteen million, one hundred sixteen thousand, four hundred eighty".