134317783351248 has 640 divisors, whose sum is σ = 418870135357440. Its totient is φ = 36286548480000.

The previous prime is 134317783351247. The next prime is 134317783351273. The reversal of 134317783351248 is 842153387713431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 134317783351191 and 134317783351200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134317783351247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34914940461 + ... + 34914944307.

It is an arithmetic number, because the mean of its divisors is an integer number (654484586496).

Almost surely, 2^{134317783351248} 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 134317783351248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209435067678720).

134317783351248 is an abundant number, since it is smaller than the sum of its proper divisors (284552352006192).

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

134317783351248 is a wasteful number, since it uses less digits than its factorization.

134317783351248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4401 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 134317783351248 in words is "one hundred thirty-four trillion, three hundred seventeen billion, seven hundred eighty-three million, three hundred fifty-one thousand, two hundred forty-eight".