136414720 has 80 divisors (see below), whose sum is σ = 352321200. Its totient is φ = 50356224.

The previous prime is 136414711. The next prime is 136414721. The reversal of 136414720 is 27414631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136414721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31231 + ... + 35329.

It is an arithmetic number, because the mean of its divisors is an integer number (4404015).

Almost surely, 2^136414720 is an apocalyptic number.

136414720 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 136414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160600).

136414720 is an abundant number, since it is smaller than the sum of its proper divisors (215906480).

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

136414720 is an equidigital number, since it uses as much as digits as its factorization.

136414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 136414720 is about 11679.6712282495. The cubic root of 136414720 is about 514.7785141161.

The spelling of 136414720 in words is "one hundred thirty-six million, four hundred fourteen thousand, seven hundred twenty".