128180745 has 192 divisors, whose sum is σ = 306432000. Its totient is φ = 49610880.

The previous prime is 128180711. The next prime is 128180777. The reversal of 128180745 is 547081821.

It is not a de Polignac number, because 128180745 - 2¹⁰ = 128179721 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2172526 + ... + 2172584.

It is an arithmetic number, because the mean of its divisors is an integer number (1596000).

Almost surely, 2^128180745 is an apocalyptic number.

128180745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128180745 is an abundant number, since it is smaller than the sum of its proper divisors (178251255).

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

128180745 is a wasteful number, since it uses less digits than its factorization.

128180745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 128180745 is about 11321.6935570612. The cubic root of 128180745 is about 504.2055213398.

The spelling of 128180745 in words is "one hundred twenty-eight million, one hundred eighty thousand, seven hundred forty-five".