128526720 has 256 divisors, whose sum is σ = 478241280. Its totient is φ = 28753920.

The previous prime is 128526709. The next prime is 128526731. The reversal of 128526720 is 27625821.

It is an interprime number because it is at equal distance from previous prime (128526709) and next prime (128526731).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 981055 + ... + 981185.

It is an arithmetic number, because the mean of its divisors is an integer number (1868130).

Almost surely, 2^128526720 is an apocalyptic number.

128526720 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 128526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239120640).

128526720 is an abundant number, since it is smaller than the sum of its proper divisors (349714560).

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

128526720 is a wasteful number, since it uses less digits than its factorization.

128526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 128526720 is about 11336.9625561700. The cubic root of 128526720 is about 504.6587506012.

The spelling of 128526720 in words is "one hundred twenty-eight million, five hundred twenty-six thousand, seven hundred twenty".