136222272000 has 480 divisors, whose sum is σ = 498819104784. Its totient is φ = 35721216000.

The previous prime is 136222271929. The next prime is 136222272023. The reversal of 136222272000 is 272222631.

136222272000 is a `hidden beast` number, since 13 + 622 + 2 + 2 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8378839296 + 127843432704 = 91536^2 + 357552^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35134062 + ... + 35137938.

Almost surely, 2^136222272000 is an apocalyptic number.

136222272000 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 136222272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249409552392).

136222272000 is an abundant number, since it is smaller than the sum of its proper divisors (362596832784).

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

136222272000 is an equidigital number, since it uses as much as digits as its factorization.

136222272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 136222272000 its reverse (272222631), we get a palindrome (136494494631).

The spelling of 136222272000 in words is "one hundred thirty-six billion, two hundred twenty-two million, two hundred seventy-two thousand".