133946568000 has 448 divisors, whose sum is σ = 561646425600. Its totient is φ = 30616012800.

The previous prime is 133946567987. The next prime is 133946568001. The reversal of 133946568000 is 865649331.

133946568000 is a `hidden beast` number, since 13 + 39 + 46 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133946568001) 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, 1467706 + ... + 1556294.

Almost surely, 2^133946568000 is an apocalyptic number.

133946568000 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 133946568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280823212800).

133946568000 is an abundant number, since it is smaller than the sum of its proper divisors (427699857600).

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

133946568000 is an equidigital number, since it uses as much as digits as its factorization.

133946568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88632 (or 88606 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 133946568000 in words is "one hundred thirty-three billion, nine hundred forty-six million, five hundred sixty-eight thousand".