36795336155136 has 896 divisors, whose sum is σ = 126603420249600. Its totient is φ = 10463524945920.

The previous prime is 36795336155113. The next prime is 36795336155147. The reversal of 36795336155136 is 63155163359763.

36795336155136 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 5 + 3 + 3 + 615 + 5 + 1 + 3 + 6 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2239922155 + ... + 2239938581.

It is an arithmetic number, because the mean of its divisors is an integer number (141298460100).

Almost surely, 2^{36795336155136} is an apocalyptic number.

36795336155136 is a gapful number since it is divisible by the number (36) 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 36795336155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63301710124800).

36795336155136 is an abundant number, since it is smaller than the sum of its proper divisors (89808084094464).

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

36795336155136 is a wasteful number, since it uses less digits than its factorization.

36795336155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16535 (or 16505 counting only the distinct ones).

The product of its digits is 137781000, while the sum is 63.

The spelling of 36795336155136 in words is "thirty-six trillion, seven hundred ninety-five billion, three hundred thirty-six million, one hundred fifty-five thousand, one hundred thirty-six".