136348218726976 has 189 divisors, whose sum is σ = 300538117964091. Its totient is φ = 61357693292544.

The previous prime is 136348218726947. The next prime is 136348218727013. The reversal of 136348218726976 is 679627812843631.

The square root of 136348218726976 is 11676824.

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 15520637261376 + 120827581465600 = 3939624^2 + 10992160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 136348218726899 and 136348218726908.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36525103606 + ... + 36525107338.

Almost surely, 2^{136348218726976} is an apocalyptic number.

136348218726976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136348218726976 is the 11676824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136348218726976

136348218726976 is an abundant number, since it is smaller than the sum of its proper divisors (164189899237115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136348218726976 is an frugal number, since it uses more digits than its factorization.

136348218726976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558 (or 3775 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 73.

The spelling of 136348218726976 in words is "one hundred thirty-six trillion, three hundred forty-eight billion, two hundred eighteen million, seven hundred twenty-six thousand, nine hundred seventy-six".