134001141022320 has 320 divisors, whose sum is σ = 488330044876800. Its totient is φ = 29967620382720.

The previous prime is 134001141022283. The next prime is 134001141022361. The reversal of 134001141022320 is 23220141100431.

134001141022320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 54007561 + ... + 56434199.

It is an arithmetic number, because the mean of its divisors is an integer number (1526031390240).

Almost surely, 2^{134001141022320} is an apocalyptic number.

134001141022320 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 134001141022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244165022438400).

134001141022320 is an abundant number, since it is smaller than the sum of its proper divisors (354328903854480).

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

134001141022320 is a wasteful number, since it uses less digits than its factorization.

134001141022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428288 (or 2428282 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 134001141022320 its reverse (23220141100431), we get a palindrome (157221282122751).

The spelling of 134001141022320 in words is "one hundred thirty-four trillion, one billion, one hundred forty-one million, twenty-two thousand, three hundred twenty".