136013600 has 144 divisors (see below), whose sum is σ = 358992648. Its totient is φ = 50135040.

The previous prime is 136013599. The next prime is 136013611. The reversal of 136013600 is 6310631.

136013600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 28601104 + 107412496 = 5348^2 + 10364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992732 + ... + 992868.

Almost surely, 2^136013600 is an apocalyptic number.

136013600 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 136013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179496324).

136013600 is an abundant number, since it is smaller than the sum of its proper divisors (222979048).

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

136013600 is a wasteful number, since it uses less digits than its factorization.

136013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 136013600 is about 11662.4868703034. The cubic root of 136013600 is about 514.2734594376.

The spelling of 136013600 in words is "one hundred thirty-six million, thirteen thousand, six hundred".