134034430200 has 192 divisors, whose sum is σ = 457293945600. Its totient is φ = 32205465600.

The previous prime is 134034430181. The next prime is 134034430217. The reversal of 134034430200 is 2034430431.

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 47 ways as a sum of consecutive naturals, for example, 655941 + ... + 835659.

It is an arithmetic number, because the mean of its divisors is an integer number (2381739300).

Almost surely, 2^134034430200 is an apocalyptic number.

134034430200 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 134034430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228646972800).

134034430200 is an abundant number, since it is smaller than the sum of its proper divisors (323259515400).

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

134034430200 is a wasteful number, since it uses less digits than its factorization.

134034430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179862 (or 179853 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 134034430200 its reverse (2034430431), we get a palindrome (136068860631).

The spelling of 134034430200 in words is "one hundred thirty-four billion, thirty-four million, four hundred thirty thousand, two hundred".