136267263649449 has 81 divisors (see below), whose sum is σ = 201464819631621. Its totient is φ = 88754867942400.

The previous prime is 136267263649427. The next prime is 136267263649487. The reversal of 136267263649449 is 944946362762631.

The square root of 136267263649449 is 11673357.

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

136267263649449 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 6 + 72 + 63 + 6 + 494 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95167931049 + 136172095718400 = 308493^2 + 11669280^2 .

It is not a de Polignac number, because 136267263649449 - 2⁵ = 136267263649417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136267263649849) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 386026242457 + ... + 386026242809.

Almost surely, 2^{136267263649449} is an apocalyptic number.

136267263649449 is the 11673357-th square number.

136267263649449 is the 5836679-th centered octagonal number.

It is an amenable number.

136267263649449 is a deficient number, since it is larger than the sum of its proper divisors (65197555982172).

136267263649449 is an frugal number, since it uses more digits than its factorization.

136267263649449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 72.

The spelling of 136267263649449 in words is "one hundred thirty-six trillion, two hundred sixty-seven billion, two hundred sixty-three million, six hundred forty-nine thousand, four hundred forty-nine".