128721960 has 384 divisors, whose sum is σ = 495331200. Its totient is φ = 29859840.

The previous prime is 128721959. The next prime is 128721991. The reversal of 128721960 is 69127821.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3139540 + ... + 3139580.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^128721960 is an apocalyptic number.

128721960 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 128721960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

128721960 is an abundant number, since it is smaller than the sum of its proper divisors (366609240).

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

128721960 is a wasteful number, since it uses less digits than its factorization.

128721960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 128721960 is about 11345.5700606007. The cubic root of 128721960 is about 504.9141572220.

The spelling of 128721960 in words is "one hundred twenty-eight million, seven hundred twenty-one thousand, nine hundred sixty".