133680039168000 has 3072 divisors, whose sum is σ = 524210990284800. Its totient is φ = 29974855680000.

The previous prime is 133680039167989. The next prime is 133680039168007. The reversal of 133680039168000 is 861930086331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (133680039168007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 633554687895 + ... + 633554688105.

It is an arithmetic number, because the mean of its divisors is an integer number (170641598400).

Almost surely, 2^{133680039168000} is an apocalyptic number.

133680039168000 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 133680039168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262105495142400).

133680039168000 is an abundant number, since it is smaller than the sum of its proper divisors (390530951116800).

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

133680039168000 is a wasteful number, since it uses less digits than its factorization.

133680039168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 133680039168000 in words is "one hundred thirty-three trillion, six hundred eighty billion, thirty-nine million, one hundred sixty-eight thousand".