133467138757680 has 960 divisors, whose sum is σ = 522409183672320. Its totient is φ = 27938920439808.

The previous prime is 133467138757669. The next prime is 133467138757681. The reversal of 133467138757680 is 86757831764331.

It is not an unprimeable number, because it can be changed into a prime (133467138757681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10121108047 + ... + 10121121233.

It is an arithmetic number, because the mean of its divisors is an integer number (544176232992).

Almost surely, 2^{133467138757680} is an apocalyptic number.

133467138757680 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 133467138757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261204591836160).

133467138757680 is an abundant number, since it is smaller than the sum of its proper divisors (388942044914640).

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

133467138757680 is a wasteful number, since it uses less digits than its factorization.

133467138757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 69.

The spelling of 133467138757680 in words is "one hundred thirty-three trillion, four hundred sixty-seven billion, one hundred thirty-eight million, seven hundred fifty-seven thousand, six hundred eighty".