134414324200 has 96 divisors (see below), whose sum is σ = 336779616600. Its totient is φ = 49596456960.

The previous prime is 134414324189. The next prime is 134414324207. The reversal of 134414324200 is 2423414431.

It can be written as a sum of positive squares in 12 ways, for example, as 28491414436 + 105922909764 = 168794^2 + 325458^2 .

It is not an unprimeable number, because it can be changed into a prime (134414324207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4021156 + ... + 4054444.

Almost surely, 2^134414324200 is an apocalyptic number.

134414324200 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 134414324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168389808300).

134414324200 is an abundant number, since it is smaller than the sum of its proper divisors (202365292400).

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

134414324200 is a wasteful number, since it uses less digits than its factorization.

134414324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34871 (or 34862 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 134414324200 its reverse (2423414431), we get a palindrome (136837738631).

The spelling of 134414324200 in words is "one hundred thirty-four billion, four hundred fourteen million, three hundred twenty-four thousand, two hundred".