136872621369 has 135 divisors (see below), whose sum is σ = 233289293853. Its totient is φ = 79912008000.

The previous prime is 136872621367. The next prime is 136872621371. The reversal of 136872621369 is 963126278631.

The square root of 136872621369 is 369963.

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

136872621369 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 7 + 2 + 621 + 3 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (136872621367) and next prime (136872621371).

It can be written as a sum of positive squares in 4 ways, for example, as 101936525625 + 34936095744 = 319275^2 + 186912^2 .

It is not a de Polignac number, because 136872621369 - 2¹ = 136872621367 is a prime.

It is a super-2 number, since 2×136872621369² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136872621367) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1355174419 + ... + 1355174519.

Almost surely, 2^136872621369 is an apocalyptic number.

136872621369 is the 369963-rd square number.

136872621369 is the 184982-nd centered octagonal number.

It is an amenable number.

136872621369 is a deficient number, since it is larger than the sum of its proper divisors (96416672484).

136872621369 is an equidigital number, since it uses as much as digits as its factorization.

136872621369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 152 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

It can be divided in two parts, 13687262 and 1369, that added together give a palindrome (13688631).

The spelling of 136872621369 in words is "one hundred thirty-six billion, eight hundred seventy-two million, six hundred twenty-one thousand, three hundred sixty-nine".