136841908224 has 832 divisors, whose sum is σ = 471717724160. Its totient is φ = 34398535680.

The previous prime is 136841908223. The next prime is 136841908271. The reversal of 136841908224 is 422809148631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136841908223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874546652 + ... + 1874546724.

Almost surely, 2^136841908224 is an apocalyptic number.

136841908224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136841908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235858862080).

136841908224 is an abundant number, since it is smaller than the sum of its proper divisors (334875815936).

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

136841908224 is a wasteful number, since it uses less digits than its factorization.

136841908224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 136841908224 in words is "one hundred thirty-six billion, eight hundred forty-one million, nine hundred eight thousand, two hundred twenty-four".