133968568320 has 672 divisors, whose sum is σ = 505424724480. Its totient is φ = 32699842560.

The previous prime is 133968568297. The next prime is 133968568333. The reversal of 133968568320 is 23865869331.

It is a happy number.

133968568320 is a `hidden beast` number, since 13 + 3 + 9 + 68 + 568 + 3 + 2 + 0 = 666.

It is a super-3 number, since 3×133968568320³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217128652 + ... + 217129268.

Almost surely, 2^133968568320 is an apocalyptic number.

133968568320 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 133968568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252712362240).

133968568320 is an abundant number, since it is smaller than the sum of its proper divisors (371456156160).

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

133968568320 is a wasteful number, since it uses less digits than its factorization.

133968568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 133968568320 in words is "one hundred thirty-three billion, nine hundred sixty-eight million, five hundred sixty-eight thousand, three hundred twenty".