36992124635136 has 192 divisors, whose sum is σ = 107597333975040. Its totient is φ = 11208676884480.

The previous prime is 36992124635129. The next prime is 36992124635159. The reversal of 36992124635136 is 63153642129963.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×36992124635136² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36992124635136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006104625 + ... + 1006141391.

It is an arithmetic number, because the mean of its divisors is an integer number (560402781120).

Almost surely, 2^{36992124635136} 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 36992124635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53798666987520).

36992124635136 is an abundant number, since it is smaller than the sum of its proper divisors (70605209339904).

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

36992124635136 is a wasteful number, since it uses less digits than its factorization.

36992124635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51690 (or 51670 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 60.

The spelling of 36992124635136 in words is "thirty-six trillion, nine hundred ninety-two billion, one hundred twenty-four million, six hundred thirty-five thousand, one hundred thirty-six".