128002953 has 8 divisors (see below), whose sum is σ = 183799168. Its totient is φ = 78771024.

The previous prime is 128002933. The next prime is 128002957. The reversal of 128002953 is 359200821.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 128002953 - 2⁵ = 128002921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128002953.

It is not an unprimeable number, because it can be changed into a prime (128002957) 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 7 ways as a sum of consecutive naturals, for example, 1641025 + ... + 1641102.

It is an arithmetic number, because the mean of its divisors is an integer number (22974896).

Almost surely, 2^128002953 is an apocalyptic number.

128002953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128002953 is a deficient number, since it is larger than the sum of its proper divisors (55796215).

128002953 is a wasteful number, since it uses less digits than its factorization.

128002953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282143.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 128002953 is about 11313.8390036274. The cubic root of 128002953 is about 503.9722954978.

It can be divided in two parts, 12800 and 2953, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 128002953 in words is "one hundred twenty-eight million, two thousand, nine hundred fifty-three".