10136931840000 has 3120 divisors, whose sum is σ = 45331889027040. Its totient is φ = 2229534720000.

The previous prime is 10136931839981. The next prime is 10136931840059. The reversal of 10136931840000 is 4813963101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 138862079964 + ... + 138862080036.

Almost surely, 2^{10136931840000} is an apocalyptic number.

10136931840000 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 10136931840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22665944513520).

10136931840000 is an abundant number, since it is smaller than the sum of its proper divisors (35194957187040).

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

10136931840000 is an frugal number, since it uses more digits than its factorization.

10136931840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10136931840000 in words is "ten trillion, one hundred thirty-six billion, nine hundred thirty-one million, eight hundred forty thousand".