136556729691001 has 9 divisors (see below), whose sum is σ = 145062204163149. Its totient is φ = 128523793913664.

The previous prime is 136556729690999. The next prime is 136556729691113. The reversal of 136556729691001 is 100196927655631.

The square root of 136556729691001 is 11685749.

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 38371223191401 + 98185506499600 = 6194451^2 + 9908860^2 .

It is not a de Polignac number, because 136556729691001 - 2¹ = 136556729690999 is a prime.

It is a super-2 number, since 2×136556729691001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136556729691301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198314035 + ... + 199001431.

Almost surely, 2^{136556729691001} is an apocalyptic number.

136556729691001 is the 11685749-th square number.

136556729691001 is the 5842875-th centered octagonal number.

It is an amenable number.

136556729691001 is a deficient number, since it is larger than the sum of its proper divisors (8505474472148).

136556729691001 is an frugal number, since it uses more digits than its factorization.

136556729691001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374828 (or 687414 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 61.

The spelling of 136556729691001 in words is "one hundred thirty-six trillion, five hundred fifty-six billion, seven hundred twenty-nine million, six hundred ninety-one thousand, one".