128690800225 has 27 divisors (see below), whose sum is σ = 172827269913. Its totient is φ = 95015987040.

The previous prime is 128690800219. The next prime is 128690800237. The reversal of 128690800225 is 522008096821.

The square root of 128690800225 is 358735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33170244129 + 95520556096 = 182127^2 + 309064^2 .

It is not a de Polignac number, because 128690800225 - 2¹¹ = 128690798177 is a prime.

It is a super-2 number, since 2×128690800225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23315016 + ... + 23320534.

Almost surely, 2^128690800225 is an apocalyptic number.

128690800225 is the 358735-th square number.

128690800225 is the 179368-th centered octagonal number.

It is an amenable number.

128690800225 is a deficient number, since it is larger than the sum of its proper divisors (44136469688).

128690800225 is an frugal number, since it uses more digits than its factorization.

128690800225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 128690800225 in words is "one hundred twenty-eight billion, six hundred ninety million, eight hundred thousand, two hundred twenty-five".