133373058823680 has 640 divisors, whose sum is σ = 476030832076800. Its totient is φ = 31630015463424.

The previous prime is 133373058823559. The next prime is 133373058823687. The reversal of 133373058823680 is 86328850373331.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133373058823687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352083801 + ... + 1352182439.

It is an arithmetic number, because the mean of its divisors is an integer number (743798175120).

Almost surely, 2^{133373058823680} is an apocalyptic number.

133373058823680 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 133373058823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238015416038400).

133373058823680 is an abundant number, since it is smaller than the sum of its proper divisors (342657773253120).

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

133373058823680 is a wasteful number, since it uses less digits than its factorization.

133373058823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99174 (or 99158 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 133373058823680 in words is "one hundred thirty-three trillion, three hundred seventy-three billion, fifty-eight million, eight hundred twenty-three thousand, six hundred eighty".