134341431312 has 320 divisors, whose sum is σ = 425762749440. Its totient is φ = 35971891200.

The previous prime is 134341431307. The next prime is 134341431317. The reversal of 134341431312 is 213134143431.

It is an interprime number because it is at equal distance from previous prime (134341431307) and next prime (134341431317).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134341431312.

It is not an unprimeable number, because it can be changed into a prime (134341431317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19267987 + ... + 19274957.

It is an arithmetic number, because the mean of its divisors is an integer number (1330508592).

Almost surely, 2^134341431312 is an apocalyptic number.

134341431312 is a gapful number since it is divisible by the number (12) 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 134341431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212881374720).

134341431312 is an abundant number, since it is smaller than the sum of its proper divisors (291421318128).

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

134341431312 is a wasteful number, since it uses less digits than its factorization.

134341431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7136 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 134341431312 its reverse (213134143431), we get a palindrome (347475574743).

The spelling of 134341431312 in words is "one hundred thirty-four billion, three hundred forty-one million, four hundred thirty-one thousand, three hundred twelve".