128406152129 has 18 divisors (see below), whose sum is σ = 132683134038. Its totient is φ = 124193089600.

The previous prime is 128406152101. The next prime is 128406152159. The reversal of 128406152129 is 921251604821.

It can be written as a sum of positive squares in 3 ways, for example, as 48498169729 + 79907982400 = 220223^2 + 282680^2 .

It is not a de Polignac number, because 128406152129 - 2²⁰ = 128405103553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128406152159) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 438246107 + ... + 438246399.

Almost surely, 2^128406152129 is an apocalyptic number.

It is an amenable number.

128406152129 is a deficient number, since it is larger than the sum of its proper divisors (4276981909).

128406152129 is an frugal number, since it uses more digits than its factorization.

128406152129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

Multiplying 128406152129 by its sum of digits (41), we get a square (5264652237289 = 2294483²).

128406152129 divided by its sum of digits (41) gives a square (3131857369 = 55963²).

The spelling of 128406152129 in words is "one hundred twenty-eight billion, four hundred six million, one hundred fifty-two thousand, one hundred twenty-nine".