136580506624 has 33 divisors (see below), whose sum is σ = 273051276697. Its totient is φ = 68284340224.

The previous prime is 136580506613. The next prime is 136580506627. The reversal of 136580506624 is 426605085631.

The square root of 136580506624 is 369568.

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

It can be written as a sum of positive squares in only one way, i.e., 131890996224 + 4689510400 = 363168^2 + 68480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136580506627) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11820402 + ... + 11831950.

Almost surely, 2^136580506624 is an apocalyptic number.

136580506624 is the 369568-th square number.

It is an amenable number.

136580506624 is a deficient number, since it is larger than the sum of its proper divisors (136470770073).

136580506624 is an frugal number, since it uses more digits than its factorization.

136580506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23118 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

It can be divided in two parts, 136580 and 506624, that added together give a square (643204 = 802²).

The spelling of 136580506624 in words is "one hundred thirty-six billion, five hundred eighty million, five hundred six thousand, six hundred twenty-four".