134334204405144 has 768 divisors, whose sum is σ = 383995412951040. Its totient is φ = 39080890368000.

The previous prime is 134334204405131. The next prime is 134334204405151. The reversal of 134334204405144 is 441504402433431.

It is a junction number, because it is equal to n+sod(n) for n = 134334204405096 and 134334204405105.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 163622660254 + ... + 163622661074.

It is an arithmetic number, because the mean of its divisors is an integer number (499994027280).

Almost surely, 2^{134334204405144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134334204405144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191997706475520).

134334204405144 is an abundant number, since it is smaller than the sum of its proper divisors (249661208545896).

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

134334204405144 is a wasteful number, since it uses less digits than its factorization.

134334204405144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 134334204405144 its reverse (441504402433431), we get a palindrome (575838606838575).

The spelling of 134334204405144 in words is "one hundred thirty-four trillion, three hundred thirty-four billion, two hundred four million, four hundred five thousand, one hundred forty-four".