136409819569 has 9 divisors (see below), whose sum is σ = 137018599393. Its totient is φ = 135803737552.

The previous prime is 136409819563. The next prime is 136409819599. The reversal of 136409819569 is 965918904631.

The square root of 136409819569 is 369337.

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 3103047025 + 133306772544 = 55705^2 + 365112^2 .

It is not a de Polignac number, because 136409819569 - 2³³ = 127819884977 is a prime.

It is a super-2 number, since 2×136409819569² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136409819563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99350967 + ... + 99352339.

Almost surely, 2^136409819569 is an apocalyptic number.

136409819569 is the 369337-th square number.

136409819569 is the 184669-th centered octagonal number.

It is an amenable number.

136409819569 is a deficient number, since it is larger than the sum of its proper divisors (608779824).

136409819569 is an frugal number, since it uses more digits than its factorization.

136409819569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 61.

The spelling of 136409819569 in words is "one hundred thirty-six billion, four hundred nine million, eight hundred nineteen thousand, five hundred sixty-nine".