128185126720 has 448 divisors, whose sum is σ = 366498542592. Its totient is φ = 41803776000.

The previous prime is 128185126709. The next prime is 128185126757. The reversal of 128185126720 is 27621581821.

It is a tau number, because it is divible by the number of its divisors (448).

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, 708205030 + ... + 708205210.

It is an arithmetic number, because the mean of its divisors is an integer number (818077104).

Almost surely, 2^128185126720 is an apocalyptic number.

128185126720 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 128185126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183249271296).

128185126720 is an abundant number, since it is smaller than the sum of its proper divisors (238313415872).

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

128185126720 is a wasteful number, since it uses less digits than its factorization.

128185126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 128185126720 in words is "one hundred twenty-eight billion, one hundred eighty-five million, one hundred twenty-six thousand, seven hundred twenty".