320135452000 has 192 divisors, whose sum is σ = 968090707584. Its totient is φ = 101317478400.

The previous prime is 320135451997. The next prime is 320135452003. The reversal of 320135452000 is 254531023.

It is an interprime number because it is at equal distance from previous prime (320135451997) and next prime (320135452003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320135452003) 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 31 ways as a sum of consecutive naturals, for example, 75747 + ... + 803746.

It is an arithmetic number, because the mean of its divisors is an integer number (5042139102).

Almost surely, 2^320135452000 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 320135452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484045353792).

320135452000 is an abundant number, since it is smaller than the sum of its proper divisors (647955255584).

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

320135452000 is a wasteful number, since it uses less digits than its factorization.

320135452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879538 (or 879520 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 320135452000 its reverse (254531023), we get a palindrome (320389983023).

The spelling of 320135452000 in words is "three hundred twenty billion, one hundred thirty-five million, four hundred fifty-two thousand".