10136136712900 has 243 divisors, whose sum is σ = 24500976204999. Its totient is φ = 3637093152000.

The previous prime is 10136136712879. The next prime is 10136136712907. The reversal of 10136136712900 is 921763163101.

The square root of 10136136712900 is 3183730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14423529604 + 10121713183296 = 120098^2 + 3181464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10136136712907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36071660760 + ... + 36071661040.

Almost surely, 2^{10136136712900} is an apocalyptic number.

10136136712900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10136136712900 is the 3183730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10136136712900

10136136712900 is an abundant number, since it is smaller than the sum of its proper divisors (14364839492099).

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

10136136712900 is a wasteful number, since it uses less digits than its factorization.

10136136712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 10136136712900 in words is "ten trillion, one hundred thirty-six billion, one hundred thirty-six million, seven hundred twelve thousand, nine hundred".