134331323413144 has 256 divisors, whose sum is σ = 304894632591360. Its totient is φ = 54666855936000.

The previous prime is 134331323413139. The next prime is 134331323413151. The reversal of 134331323413144 is 441314323133431.

It is a junction number, because it is equal to n+sod(n) for n = 134331323413097 and 134331323413106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19198413454 + ... + 19198420450.

It is an arithmetic number, because the mean of its divisors is an integer number (1190994658560).

Almost surely, 2^{134331323413144} 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 134331323413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152447316295680).

134331323413144 is an abundant number, since it is smaller than the sum of its proper divisors (170563309178216).

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

134331323413144 is a wasteful number, since it uses less digits than its factorization.

134331323413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9398 counting only the distinct ones).

The product of its digits is 373248, while the sum is 40.

Adding to 134331323413144 its reverse (441314323133431), we get a palindrome (575645646546575).

The spelling of 134331323413144 in words is "one hundred thirty-four trillion, three hundred thirty-one billion, three hundred twenty-three million, four hundred thirteen thousand, one hundred forty-four".