136506044320000 has 180 divisors, whose sum is σ = 340773570610396. Its totient is φ = 54556876800000.

The previous prime is 136506044319977. The next prime is 136506044320003. The reversal of 136506044320000 is 23440605631.

It can be written as a sum of positive squares in 10 ways, for example, as 126866161926144 + 9639882393856 = 11263488^2 + 3104816^2 .

It is not an unprimeable number, because it can be changed into a prime (136506044320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191804812 + ... + 192515188.

Almost surely, 2^{136506044320000} is an apocalyptic number.

136506044320000 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 136506044320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170386785305198).

136506044320000 is an abundant number, since it is smaller than the sum of its proper divisors (204267526290396).

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

136506044320000 is an frugal number, since it uses more digits than its factorization.

136506044320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711614 (or 711585 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 136506044320000 its reverse (23440605631), we get a palindrome (136529484925631).

The spelling of 136506044320000 in words is "one hundred thirty-six trillion, five hundred six billion, forty-four million, three hundred twenty thousand".