133160710006656 has 768 divisors, whose sum is σ = 419221645839360. Its totient is φ = 40400697950208.

The previous prime is 133160710006631. The next prime is 133160710006691. The reversal of 133160710006656 is 656600017061331.

It is a happy number.

133160710006656 is a `hidden beast` number, since 1 + 3 + 31 + 607 + 1 + 0 + 0 + 0 + 6 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122502952545 + ... + 122502953631.

It is an arithmetic number, because the mean of its divisors is an integer number (545861518020).

Almost surely, 2^{133160710006656} is an apocalyptic number.

133160710006656 is a gapful number since it is divisible by the number (16) 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 133160710006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209610822919680).

133160710006656 is an abundant number, since it is smaller than the sum of its proper divisors (286060935832704).

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

133160710006656 is a wasteful number, since it uses less digits than its factorization.

133160710006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

Adding to 133160710006656 its reverse (656600017061331), we get a palindrome (789760727067987).

The spelling of 133160710006656 in words is "one hundred thirty-three trillion, one hundred sixty billion, seven hundred ten million, six thousand, six hundred fifty-six".