134410131200 has 108 divisors (see below), whose sum is σ = 332892912240. Its totient is φ = 53730631680.

The previous prime is 134410131197. The next prime is 134410131209. The reversal of 134410131200 is 2131014431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134410131209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12020012 + ... + 12031188.

It is an arithmetic number, because the mean of its divisors is an integer number (3082341780).

Almost surely, 2^134410131200 is an apocalyptic number.

134410131200 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 134410131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166446456120).

134410131200 is an abundant number, since it is smaller than the sum of its proper divisors (198482781040).

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

134410131200 is a wasteful number, since it uses less digits than its factorization.

134410131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082 (or 13063 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 134410131200 its reverse (2131014431), we get a palindrome (136541145631).

The spelling of 134410131200 in words is "one hundred thirty-four billion, four hundred ten million, one hundred thirty-one thousand, two hundred".