36161000128 has 56 divisors (see below), whose sum is σ = 78690484224. Its totient is φ = 16350700800.

The previous prime is 36161000087. The next prime is 36161000143. The reversal of 36161000128 is 82100016163.

36161000128 is a nontrivial binomial coefficient, being equal to C(268928, 2).

It is a junction number, because it is equal to n+sod(n) for n = 36161000096 and 36161000105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 268927.

Almost surely, 2^36161000128 is an apocalyptic number.

36161000128 is the 268927-th triangular number and also the 134464-th hexagonal number.

36161000128 is the 89643-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36161000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39345242112).

36161000128 is an abundant number, since it is smaller than the sum of its proper divisors (42529484096).

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

36161000128 is a wasteful number, since it uses less digits than its factorization.

36161000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269141 (or 269131 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 36161000128 in words is "thirty-six billion, one hundred sixty-one million, one hundred twenty-eight", and thus it is an aban number.