136463120 has 40 divisors (see below), whose sum is σ = 320437080. Its totient is φ = 54041600.

The previous prime is 136463083. The next prime is 136463167. The reversal of 136463120 is 21364631.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 123387664 = 3616^2 + 11108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 136463120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 365 + ... + 16524.

It is an arithmetic number, because the mean of its divisors is an integer number (8010927).

Almost surely, 2^136463120 is an apocalyptic number.

136463120 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 136463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160218540).

136463120 is an abundant number, since it is smaller than the sum of its proper divisors (183973960).

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

136463120 is a wasteful number, since it uses less digits than its factorization.

136463120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17003 (or 16997 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 136463120 is about 11681.7430206284. The cubic root of 136463120 is about 514.8393881284.

The spelling of 136463120 in words is "one hundred thirty-six million, four hundred sixty-three thousand, one hundred twenty".