147058720407729 has 81 divisors (see below), whose sum is σ = 231785224485633. Its totient is φ = 89806447808064.

The previous prime is 147058720407721. The next prime is 147058720407757. The reversal of 147058720407729 is 927704027850741.

The square root of 147058720407729 is 12126777.

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

147058720407729 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 587 + 2 + 0 + 40 + 7 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 818071407729 + 146240649000000 = 904473^2 + 12093000^2 .

It is not a de Polignac number, because 147058720407729 - 2³ = 147058720407721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (147058720407721) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 65739256999 + ... + 65739259235.

Almost surely, 2^{147058720407729} is an apocalyptic number.

147058720407729 is the 12126777-th square number.

147058720407729 is the 6063389-th centered octagonal number.

It is an amenable number.

147058720407729 is a deficient number, since it is larger than the sum of its proper divisors (84726504077904).

147058720407729 is an frugal number, since it uses more digits than its factorization.

147058720407729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 147058720407729 in words is "one hundred forty-seven trillion, fifty-eight billion, seven hundred twenty million, four hundred seven thousand, seven hundred twenty-nine".