136414080 has 192 divisors, whose sum is σ = 514116720. Its totient is φ = 33054720.

The previous prime is 136414067. The next prime is 136414087. The reversal of 136414080 is 80414631.

136414080 is a `hidden beast` number, since 13 + 641 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136414087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62284 + ... + 64436.

Almost surely, 2^136414080 is an apocalyptic number.

136414080 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 136414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257058360).

136414080 is an abundant number, since it is smaller than the sum of its proper divisors (377702640).

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

136414080 is a wasteful number, since it uses less digits than its factorization.

136414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 136414080 is about 11679.6438301859. The cubic root of 136414080 is about 514.7777090741. Note that the first 4 decimals are identical.

The spelling of 136414080 in words is "one hundred thirty-six million, four hundred fourteen thousand, eighty".