34200133120 has 160 divisors (see below), whose sum is σ = 83707097760. Its totient is φ = 13397360640.

The previous prime is 34200133109. The next prime is 34200133147. The reversal of 34200133120 is 2133100243.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 60745959 + ... + 60746521.

It is an arithmetic number, because the mean of its divisors is an integer number (523169361).

Almost surely, 2^34200133120 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 34200133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41853548880).

34200133120 is an abundant number, since it is smaller than the sum of its proper divisors (49506964640).

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

34200133120 is an equidigital number, since it uses as much as digits as its factorization.

34200133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 34200133120 its reverse (2133100243), we get a palindrome (36333233363).

The spelling of 34200133120 in words is "thirty-four billion, two hundred million, one hundred thirty-three thousand, one hundred twenty".