134214140322320 has 80 divisors (see below), whose sum is σ = 314056450350720. Its totient is φ = 53340381791232.

The previous prime is 134214140322319. The next prime is 134214140322331. The reversal of 134214140322320 is 23223041412431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27727076 + ... + 32205884.

It is an arithmetic number, because the mean of its divisors is an integer number (3925705629384).

Almost surely, 2^{134214140322320} is an apocalyptic number.

134214140322320 is a gapful number since it is divisible by the number (10) 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 134214140322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157028225175360).

134214140322320 is an abundant number, since it is smaller than the sum of its proper divisors (179842310028400).

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

134214140322320 is a wasteful number, since it uses less digits than its factorization.

134214140322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481232 (or 4481226 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 134214140322320 its reverse (23223041412431), we get a palindrome (157437181734751).

The spelling of 134214140322320 in words is "one hundred thirty-four trillion, two hundred fourteen billion, one hundred forty million, three hundred twenty-two thousand, three hundred twenty".