128232029025 has 27 divisors (see below), whose sum is σ = 229687433209. Its totient is φ = 68387550720.

The previous prime is 128232028999. The next prime is 128232029033. The reversal of 128232029025 is 520920232821.

The square root of 128232029025 is 358095.

It is a perfect power (a square), and thus also a powerful number.

128232029025 is a `hidden beast` number, since 1 + 28 + 2 + 320 + 290 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37156032081 + 91075996944 = 192759^2 + 301788^2 .

It is a de Polignac number, because none of the positive numbers 2^k-128232029025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5359489 + ... + 5383361.

Almost surely, 2^128232029025 is an apocalyptic number.

128232029025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128232029025 is the 358095-th square number.

128232029025 is the 179048-th centered octagonal number.

It is an amenable number.

128232029025 is a deficient number, since it is larger than the sum of its proper divisors (101455404184).

128232029025 is an frugal number, since it uses more digits than its factorization.

128232029025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47762 (or 23881 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 128232029025 by its sum of digits (36), we get a square (4616353044900 = 2148570²).

The spelling of 128232029025 in words is "one hundred twenty-eight billion, two hundred thirty-two million, twenty-nine thousand, twenty-five".