136006227200 has 108 divisors (see below), whose sum is σ = 336802914588. Its totient is φ = 54375628800.

The previous prime is 136006227193. The next prime is 136006227211. The reversal of 136006227200 is 2722600631.

It can be written as a sum of positive squares in 6 ways, for example, as 1686909184 + 134319318016 = 41072^2 + 366496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17538524 + ... + 17546276.

Almost surely, 2^136006227200 is an apocalyptic number.

136006227200 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 136006227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168401457294).

136006227200 is an abundant number, since it is smaller than the sum of its proper divisors (200796687388).

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

136006227200 is an equidigital number, since it uses as much as digits as its factorization.

136006227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 136006227200 its reverse (2722600631), we get a palindrome (138728827831).

The spelling of 136006227200 in words is "one hundred thirty-six billion, six million, two hundred twenty-seven thousand, two hundred".