134444202312 has 256 divisors, whose sum is σ = 418465382400. Its totient is φ = 35126058240.

The previous prime is 134444202311. The next prime is 134444202317. The reversal of 134444202312 is 213202444431.

It is a super-2 number, since 2×134444202312² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134444202312.

It is not an unprimeable number, because it can be changed into a prime (134444202311) 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 63 ways as a sum of consecutive naturals, for example, 43834203 + ... + 43837269.

It is an arithmetic number, because the mean of its divisors is an integer number (1634630400).

Almost surely, 2^134444202312 is an apocalyptic number.

134444202312 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 134444202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209232691200).

134444202312 is an abundant number, since it is smaller than the sum of its proper divisors (284021180088).

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

134444202312 is a wasteful number, since it uses less digits than its factorization.

134444202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 134444202312 its reverse (213202444431), we get a palindrome (347646646743).

The spelling of 134444202312 in words is "one hundred thirty-four billion, four hundred forty-four million, two hundred two thousand, three hundred twelve".