128713760289 has 15 divisors (see below), whose sum is σ = 192280934593. Its totient is φ = 85807020924.

The previous prime is 128713760267. The next prime is 128713760291. The reversal of 128713760289 is 982067317821.

It is a happy number.

The square root of 128713760289 is 358767.

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

128713760289 is a `hidden beast` number, since 1 + 28 + 7 + 1 + 3 + 7 + 602 + 8 + 9 = 666.

It is not a de Polignac number, because 128713760289 - 2¹⁵ = 128713727521 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128713760239) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3208972 + ... + 3248834.

Almost surely, 2^128713760289 is an apocalyptic number.

128713760289 is the 358767-th square number.

128713760289 is the 179384-th centered octagonal number.

It is an amenable number.

128713760289 is a deficient number, since it is larger than the sum of its proper divisors (63567174304).

128713760289 is an frugal number, since it uses more digits than its factorization.

128713760289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79738 (or 39866 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 128713760289 in words is "one hundred twenty-eight billion, seven hundred thirteen million, seven hundred sixty thousand, two hundred eighty-nine".