133302867923680 has 288 divisors, whose sum is σ = 396704970960480. Its totient is φ = 41955070832640.

The previous prime is 133302867923651. The next prime is 133302867923683. The reversal of 133302867923680 is 86329768203331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133302867923683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14834491 + ... + 22060549.

It is an arithmetic number, because the mean of its divisors is an integer number (1377447815835).

Almost surely, 2^{133302867923680} is an apocalyptic number.

133302867923680 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 133302867923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198352485480240).

133302867923680 is an abundant number, since it is smaller than the sum of its proper divisors (263402103036800).

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

133302867923680 is a wasteful number, since it uses less digits than its factorization.

133302867923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226282 (or 7226267 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 61.

The spelling of 133302867923680 in words is "one hundred thirty-three trillion, three hundred two billion, eight hundred sixty-seven million, nine hundred twenty-three thousand, six hundred eighty".