128435120 has 40 divisors (see below), whose sum is σ = 325760400. Its totient is φ = 46703360.

The previous prime is 128435101. The next prime is 128435123. The reversal of 128435120 is 21534821.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 128435120.

It is not an unprimeable number, because it can be changed into a prime (128435123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72095 + ... + 73854.

It is an arithmetic number, because the mean of its divisors is an integer number (8144010).

Almost surely, 2^128435120 is an apocalyptic number.

128435120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128435120 is an abundant number, since it is smaller than the sum of its proper divisors (197325280).

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

128435120 is a wasteful number, since it uses less digits than its factorization.

128435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145973 (or 145967 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 128435120 is about 11332.9219533181. The cubic root of 128435120 is about 504.5388333116.

Adding to 128435120 its reverse (21534821), we get a palindrome (149969941).

The spelling of 128435120 in words is "one hundred twenty-eight million, four hundred thirty-five thousand, one hundred twenty".