136325814768 has 540 divisors, whose sum is σ = 468795292056. Its totient is φ = 36458380800.

The previous prime is 136325814761. The next prime is 136325814773. The reversal of 136325814768 is 867418523631.

136325814768 is a `hidden beast` number, since 13 + 6 + 3 + 2 + 581 + 47 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136325814761) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1642479655 + ... + 1642479737.

Almost surely, 2^136325814768 is an apocalyptic number.

136325814768 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 136325814768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234397646028).

136325814768 is an abundant number, since it is smaller than the sum of its proper divisors (332469477288).

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

136325814768 is a wasteful number, since it uses less digits than its factorization.

136325814768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 143 counting only the distinct ones).

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

The spelling of 136325814768 in words is "one hundred thirty-six billion, three hundred twenty-five million, eight hundred fourteen thousand, seven hundred sixty-eight".