134113105200 has 240 divisors, whose sum is σ = 446311402496. Its totient is φ = 34387891200.

The previous prime is 134113105193. The next prime is 134113105201. The reversal of 134113105200 is 2501311431.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (134113105201) by changing a digit.

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, 5828919 + ... + 5851881.

Almost surely, 2^134113105200 is an apocalyptic number.

134113105200 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 134113105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223155701248).

134113105200 is an abundant number, since it is smaller than the sum of its proper divisors (312198297296).

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

134113105200 is a wasteful number, since it uses less digits than its factorization.

134113105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23172 (or 23161 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 134113105200 its reverse (2501311431), we get a palindrome (136614416631).

The spelling of 134113105200 in words is "one hundred thirty-four billion, one hundred thirteen million, one hundred five thousand, two hundred".