136324587168 has 1536 divisors, whose sum is σ = 557383680000. Its totient is φ = 32006016000.

The previous prime is 136324587167. The next prime is 136324587181. The reversal of 136324587168 is 861785423631.

136324587168 is a `hidden beast` number, since 1 + 3 + 63 + 2 + 458 + 71 + 68 = 666.

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

Its product of digits (5806080) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (136324587163) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1920064573 + ... + 1920064643.

It is an arithmetic number, because the mean of its divisors is an integer number (362880000).

Almost surely, 2^136324587168 is an apocalyptic number.

136324587168 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 136324587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840000).

136324587168 is an abundant number, since it is smaller than the sum of its proper divisors (421059092832).

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

136324587168 is a wasteful number, since it uses less digits than its factorization.

136324587168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 136324587168 in words is "one hundred thirty-six billion, three hundred twenty-four million, five hundred eighty-seven thousand, one hundred sixty-eight".