201136936000 has 448 divisors, whose sum is σ = 668825224704. Its totient is φ = 57867264000.

The previous prime is 201136935971. The next prime is 201136936001. The reversal of 201136936000 is 639631102.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (201136936001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7995442 + ... + 8020558.

It is an arithmetic number, because the mean of its divisors is an integer number (1492913448).

Almost surely, 2^201136936000 is an apocalyptic number.

201136936000 is a gapful number since it is divisible by the number (20) 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 201136936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334412612352).

201136936000 is an abundant number, since it is smaller than the sum of its proper divisors (467688288704).

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

201136936000 is a wasteful number, since it uses less digits than its factorization.

201136936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25175 (or 25155 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 201136936000 in words is "two hundred one billion, one hundred thirty-six million, nine hundred thirty-six thousand".