136324328448 has 1056 divisors, whose sum is σ = 508085706240. Its totient is φ = 31984189440.

The previous prime is 136324328447. The next prime is 136324328551. The reversal of 136324328448 is 844823423631.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 136324328397 and 136324328406.

It is not an unprimeable number, because it can be changed into a prime (136324328447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816313261 + ... + 816313427.

Almost surely, 2^136324328448 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 136324328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254042853120).

136324328448 is an abundant number, since it is smaller than the sum of its proper divisors (371761377792).

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

136324328448 is a wasteful number, since it uses less digits than its factorization.

136324328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 136324328448 in words is "one hundred thirty-six billion, three hundred twenty-four million, three hundred twenty-eight thousand, four hundred forty-eight".