136506001000 has 192 divisors, whose sum is σ = 331673771520. Its totient is φ = 52561660800.

The previous prime is 136506000929. The next prime is 136506001001. The reversal of 136506001000 is 100605631.

It is not an unprimeable number, because it can be changed into a prime (136506001001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 210982677 + ... + 210983323.

It is an arithmetic number, because the mean of its divisors is an integer number (1727467560).

Almost surely, 2^136506001000 is an apocalyptic number.

136506001000 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 136506001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165836885760).

136506001000 is an abundant number, since it is smaller than the sum of its proper divisors (195167770520).

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

136506001000 is an equidigital number, since it uses as much as digits as its factorization.

136506001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 136506001000 its reverse (100605631), we get a palindrome (136606606631).

The spelling of 136506001000 in words is "one hundred thirty-six billion, five hundred six million, one thousand".