134353340355104 has 288 divisors, whose sum is σ = 298772577734400. Its totient is φ = 59395953576960.

The previous prime is 134353340355077. The next prime is 134353340355109. The reversal of 134353340355104 is 401553043353431.

It is not an unprimeable number, because it can be changed into a prime (134353340355109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5748708539 + ... + 5748731909.

It is an arithmetic number, because the mean of its divisors is an integer number (1037404783800).

Almost surely, 2^{134353340355104} 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 134353340355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149386288867200).

134353340355104 is an abundant number, since it is smaller than the sum of its proper divisors (164419237379296).

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

134353340355104 is a wasteful number, since it uses less digits than its factorization.

134353340355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23928 (or 23907 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 44.

The spelling of 134353340355104 in words is "one hundred thirty-four trillion, three hundred fifty-three billion, three hundred forty million, three hundred fifty-five thousand, one hundred four".