136335211055289 has 45 divisors (see below), whose sum is σ = 208756340601919. Its totient is φ = 88670505699360.

The previous prime is 136335211055243. The next prime is 136335211055291. The reversal of 136335211055289 is 982550112533631.

The square root of 136335211055289 is 11676267.

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

136335211055289 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 3 + 5 + 2 + 1 + 1 + 0 + 552 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6569394464889 + 129765816590400 = 2563083^2 + 11391480^2 .

It is not a de Polignac number, because 136335211055289 - 2⁷ = 136335211055161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136335211055389) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4308526702 + ... + 4308558344.

Almost surely, 2^{136335211055289} is an apocalyptic number.

136335211055289 is the 11676267-th square number.

136335211055289 is the 5838134-th centered octagonal number.

It is an amenable number.

136335211055289 is a deficient number, since it is larger than the sum of its proper divisors (72421129546630).

136335211055289 is an frugal number, since it uses more digits than its factorization.

136335211055289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63380 (or 31687 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 136335211055289 in words is "one hundred thirty-six trillion, three hundred thirty-five billion, two hundred eleven million, fifty-five thousand, two hundred eighty-nine".