36126355136 has 112 divisors (see below), whose sum is σ = 76173177600. Its totient is φ = 16972956672.

The previous prime is 36126355129. The next prime is 36126355169. The reversal of 36126355136 is 63155362163.

It is a super-2 number, since 2×36126355136² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36126355093 and 36126355102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11277311 + ... + 11280513.

Almost surely, 2^36126355136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36126355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38086588800).

36126355136 is an abundant number, since it is smaller than the sum of its proper divisors (40046822464).

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

36126355136 is a wasteful number, since it uses less digits than its factorization.

36126355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3396 counting only the distinct ones).

The product of its digits is 291600, while the sum is 41.

The spelling of 36126355136 in words is "thirty-six billion, one hundred twenty-six million, three hundred fifty-five thousand, one hundred thirty-six".