128358945 has 128 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 55987200.

The previous prime is 128358917. The next prime is 128358947. The reversal of 128358945 is 549853821.

128358945 is a `hidden beast` number, since 1 + 28 + 3 + 589 + 45 = 666.

It is not a de Polignac number, because 128358945 - 2¹³ = 128350753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 128358945.

It is not an unprimeable number, because it can be changed into a prime (128358947) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1177551 + ... + 1177659.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^128358945 is an apocalyptic number.

128358945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128358945 is an abundant number, since it is smaller than the sum of its proper divisors (146623455).

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

128358945 is a wasteful number, since it uses less digits than its factorization.

128358945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 128358945 is about 11329.5606710940. The cubic root of 128358945 is about 504.4390660870.

The spelling of 128358945 in words is "one hundred twenty-eight million, three hundred fifty-eight thousand, nine hundred forty-five".