128126164320 has 1296 divisors, whose sum is σ = 573696723600. Its totient is φ = 25929953280.

The previous prime is 128126164301. The next prime is 128126164339. The reversal of 128126164320 is 23461621821.

It is a happy number.

128126164320 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 2 + 6 + 1 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128126164301) and next prime (128126164339).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 367123506 + ... + 367123854.

It is an arithmetic number, because the mean of its divisors is an integer number (442667225).

Almost surely, 2^128126164320 is an apocalyptic number.

128126164320 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 128126164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286848361800).

128126164320 is an abundant number, since it is smaller than the sum of its proper divisors (445570559280).

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

128126164320 is a wasteful number, since it uses less digits than its factorization.

128126164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 128126164320 in words is "one hundred twenty-eight billion, one hundred twenty-six million, one hundred sixty-four thousand, three hundred twenty".