139616564409 has 81 divisors (see below), whose sum is σ = 243974499717. Its totient is φ = 79659830376.

The previous prime is 139616564291. The next prime is 139616564443. The reversal of 139616564409 is 904465616931.

It is a happy number.

The square root of 139616564409 is 373653.

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

139616564409 is a `hidden beast` number, since 1 + 39 + 6 + 1 + 6 + 564 + 40 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 139616564409 - 2⁷ = 139616564281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (139616564449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 211860922 + ... + 211861580.

Almost surely, 2^139616564409 is an apocalyptic number.

139616564409 is the 373653-rd square number.

139616564409 is the 186827-th centered octagonal number.

It is an amenable number.

139616564409 is a deficient number, since it is larger than the sum of its proper divisors (104357935308).

139616564409 is an frugal number, since it uses more digits than its factorization.

139616564409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 139616564409 in words is "one hundred thirty-nine billion, six hundred sixteen million, five hundred sixty-four thousand, four hundred nine".