136353747168 has 192 divisors, whose sum is σ = 409402667520. Its totient is φ = 44126401536.

The previous prime is 136353747161. The next prime is 136353747217. The reversal of 136353747168 is 861747353631.

136353747168 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 537 + 47 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136353747161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6193396 + ... + 6215372.

It is an arithmetic number, because the mean of its divisors is an integer number (2132305560).

Almost surely, 2^136353747168 is an apocalyptic number.

136353747168 is a gapful number since it is divisible by the number (18) 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 136353747168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204701333760).

136353747168 is an abundant number, since it is smaller than the sum of its proper divisors (273048920352).

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

136353747168 is a wasteful number, since it uses less digits than its factorization.

136353747168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22206 (or 22192 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 136353747168 in words is "one hundred thirty-six billion, three hundred fifty-three million, seven hundred forty-seven thousand, one hundred sixty-eight".