133045032120 has 768 divisors, whose sum is σ = 571820497920. Its totient is φ = 24013946880.

The previous prime is 133045032091. The next prime is 133045032163. The reversal of 133045032120 is 21230540331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22459479 + ... + 22465401.

It is an arithmetic number, because the mean of its divisors is an integer number (744557940).

Almost surely, 2^133045032120 is an apocalyptic number.

133045032120 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 133045032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285910248960).

133045032120 is an abundant number, since it is smaller than the sum of its proper divisors (438775465800).

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

133045032120 is a wasteful number, since it uses less digits than its factorization.

133045032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 133045032120 its reverse (21230540331), we get a palindrome (154275572451).

The spelling of 133045032120 in words is "one hundred thirty-three billion, forty-five million, thirty-two thousand, one hundred twenty".