136113234665344 has 128 divisors (see below), whose sum is σ = 275502669120000. Its totient is φ = 66973397557248.

The previous prime is 136113234665267. The next prime is 136113234665351. The reversal of 136113234665344 is 443566432311631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 136113234665291 and 136113234665300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6204722344 + ... + 6204744280.

It is an arithmetic number, because the mean of its divisors is an integer number (2152364602500).

Almost surely, 2^{136113234665344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136113234665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137751334560000).

136113234665344 is an abundant number, since it is smaller than the sum of its proper divisors (139389434454656).

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

136113234665344 is a wasteful number, since it uses less digits than its factorization.

136113234665344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24028 (or 24016 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 52.

Adding to 136113234665344 its reverse (443566432311631), we get a palindrome (579679666976975).

The spelling of 136113234665344 in words is "one hundred thirty-six trillion, one hundred thirteen billion, two hundred thirty-four million, six hundred sixty-five thousand, three hundred forty-four".