133564948807680 has 3040 divisors, whose sum is σ = 552495486090240. Its totient is φ = 30630834339840.

The previous prime is 133564948807621. The next prime is 133564948807817. The reversal of 133564948807680 is 86708849465331.

133564948807680 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 64 + 9 + 488 + 0 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 133564948807599 and 133564948807608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1881196462045 + ... + 1881196462115.

Almost surely, 2^{133564948807680} is an apocalyptic number.

133564948807680 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 133564948807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276247743045120).

133564948807680 is an abundant number, since it is smaller than the sum of its proper divisors (418930537282560).

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

133564948807680 is an frugal number, since it uses more digits than its factorization.

133564948807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 133564948807680 in words is "one hundred thirty-three trillion, five hundred sixty-four billion, nine hundred forty-eight million, eight hundred seven thousand, six hundred eighty".