128344451000 has 128 divisors (see below), whose sum is σ = 307580232960. Its totient is φ = 50103936000.

The previous prime is 128344450991. The next prime is 128344451009. The reversal of 128344451000 is 154443821.

It is an interprime number because it is at equal distance from previous prime (128344450991) and next prime (128344451009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128344451009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17527340 + ... + 17534660.

It is an arithmetic number, because the mean of its divisors is an integer number (2402970570).

Almost surely, 2^128344451000 is an apocalyptic number.

128344451000 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 128344451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153790116480).

128344451000 is an abundant number, since it is smaller than the sum of its proper divisors (179235781960).

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

128344451000 is a wasteful number, since it uses less digits than its factorization.

128344451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 128344451000 its reverse (154443821), we get a palindrome (128498894821).

The spelling of 128344451000 in words is "one hundred twenty-eight billion, three hundred forty-four million, four hundred fifty-one thousand".