133162873344 has 320 divisors, whose sum is σ = 408348864000. Its totient is φ = 42817130496.

The previous prime is 133162873253. The next prime is 133162873357. The reversal of 133162873344 is 443378261331.

133162873344 is a `hidden beast` number, since 1 + 3 + 31 + 6 + 287 + 334 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133162873344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49336507 + ... + 49339205.

It is an arithmetic number, because the mean of its divisors is an integer number (1276090200).

Almost surely, 2^133162873344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133162873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174432000).

133162873344 is an abundant number, since it is smaller than the sum of its proper divisors (275185990656).

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

133162873344 is an equidigital number, since it uses as much as digits as its factorization.

133162873344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2830 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 133162873344 in words is "one hundred thirty-three billion, one hundred sixty-two million, eight hundred seventy-three thousand, three hundred forty-four".