201105287136 has 192 divisors, whose sum is σ = 633057546240. Its totient is φ = 61743306240.

The previous prime is 201105287129. The next prime is 201105287167. The reversal of 201105287136 is 631782501102.

201105287136 is a `hidden beast` number, since 2 + 0 + 110 + 528 + 7 + 13 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201105287136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5181081 + ... + 5219751.

It is an arithmetic number, because the mean of its divisors is an integer number (3297174720).

Almost surely, 2^201105287136 is an apocalyptic number.

201105287136 is a gapful number since it is divisible by the number (26) 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 201105287136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316528773120).

201105287136 is an abundant number, since it is smaller than the sum of its proper divisors (431952259104).

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

201105287136 is a wasteful number, since it uses less digits than its factorization.

201105287136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39166 (or 39152 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 201105287136 its reverse (631782501102), we get a palindrome (832887788238).

The spelling of 201105287136 in words is "two hundred one billion, one hundred five million, two hundred eighty-seven thousand, one hundred thirty-six".