320135434125 has 128 divisors (see below), whose sum is σ = 639401817600. Its totient is φ = 140526489600.

The previous prime is 320135434121. The next prime is 320135434259. The reversal of 320135434125 is 521434531023.

It is not a de Polignac number, because 320135434125 - 2² = 320135434121 is a prime.

It is a super-4 number, since 4×320135434125⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320135434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1472971 + ... + 1676279.

It is an arithmetic number, because the mean of its divisors is an integer number (4995326700).

Almost surely, 2^320135434125 is an apocalyptic number.

It is an amenable number.

320135434125 is a deficient number, since it is larger than the sum of its proper divisors (319266383475).

320135434125 is a wasteful number, since it uses less digits than its factorization.

320135434125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203376 (or 203366 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 320135434125 its reverse (521434531023), we get a palindrome (841569965148).

The spelling of 320135434125 in words is "three hundred twenty billion, one hundred thirty-five million, four hundred thirty-four thousand, one hundred twenty-five".