133147733577600 has 384 divisors, whose sum is σ = 502060103596800. Its totient is φ = 30381912391680.

The previous prime is 133147733577497. The next prime is 133147733577623. The reversal of 133147733577600 is 6775337741331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 37758696 + ... + 41134104.

It is an arithmetic number, because the mean of its divisors is an integer number (1307448186450).

Almost surely, 2^{133147733577600} is an apocalyptic number.

133147733577600 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 133147733577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251030051798400).

133147733577600 is an abundant number, since it is smaller than the sum of its proper divisors (368912370019200).

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

133147733577600 is a wasteful number, since it uses less digits than its factorization.

133147733577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376030 (or 3376013 counting only the distinct ones).

The product of its (nonzero) digits is 23337720, while the sum is 57.

The spelling of 133147733577600 in words is "one hundred thirty-three trillion, one hundred forty-seven billion, seven hundred thirty-three million, five hundred seventy-seven thousand, six hundred".