136067418080 has 192 divisors, whose sum is σ = 360581227776. Its totient is φ = 48093696000.

The previous prime is 136067418043. The next prime is 136067418101. The reversal of 136067418080 is 80814760631.

136067418080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15964220 + ... + 15972740.

It is an arithmetic number, because the mean of its divisors is an integer number (1878027228).

Almost surely, 2^136067418080 is an apocalyptic number.

136067418080 is a gapful number since it is divisible by the number (10) 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 136067418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180290613888).

136067418080 is an abundant number, since it is smaller than the sum of its proper divisors (224513809696).

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

136067418080 is a wasteful number, since it uses less digits than its factorization.

136067418080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 136067418080 in words is "one hundred thirty-six billion, sixty-seven million, four hundred eighteen thousand, eighty".