133468263021280 has 192 divisors, whose sum is σ = 344444629132800. Its totient is φ = 48468975851520.

The previous prime is 133468263021259. The next prime is 133468263021283. The reversal of 133468263021280 is 82120362864331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133468263021283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5217871531 + ... + 5217897109.

It is an arithmetic number, because the mean of its divisors is an integer number (1793982443400).

Almost surely, 2^{133468263021280} is an apocalyptic number.

133468263021280 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 133468263021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172222314566400).

133468263021280 is an abundant number, since it is smaller than the sum of its proper divisors (210976366111520).

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

133468263021280 is a wasteful number, since it uses less digits than its factorization.

133468263021280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29457 (or 29449 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 133468263021280 in words is "one hundred thirty-three trillion, four hundred sixty-eight billion, two hundred sixty-three million, twenty-one thousand, two hundred eighty".