136008000 has 168 divisors, whose sum is σ = 486780840. Its totient is φ = 36249600.

The previous prime is 136007987. The next prime is 136008013. The reversal of 136008000 is 800631.

It is an interprime number because it is at equal distance from previous prime (136007987) and next prime (136008013).

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 129413376 = 2568^2 + 11376^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71056 + ... + 72944.

It is an arithmetic number, because the mean of its divisors is an integer number (2897505).

Almost surely, 2^136008000 is an apocalyptic number.

136008000 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 136008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243390420).

136008000 is an abundant number, since it is smaller than the sum of its proper divisors (350772840).

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

136008000 is a wasteful number, since it uses less digits than its factorization.

136008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 136008000 is about 11662.2467818170. The cubic root of 136008000 is about 514.2664013912.

Adding to 136008000 its reverse (800631), we get a palindrome (136808631).

The spelling of 136008000 in words is "one hundred thirty-six million, eight thousand".