36131897339136 has 504 divisors, whose sum is σ = 112439955849984. Its totient is φ = 11570120663040.

The previous prime is 36131897339089. The next prime is 36131897339143. The reversal of 36131897339136 is 63193379813163.

36131897339136 is a `hidden beast` number, since 3 + 6 + 131 + 89 + 7 + 3 + 391 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 792569335 + ... + 792614921.

It is an arithmetic number, because the mean of its divisors is an integer number (223095150496).

Almost surely, 2^{36131897339136} is an apocalyptic number.

36131897339136 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 36131897339136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56219977924992).

36131897339136 is an abundant number, since it is smaller than the sum of its proper divisors (76308058510848).

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

36131897339136 is an equidigital number, since it uses as much as digits as its factorization.

36131897339136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45789 (or 45760 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 63.

The spelling of 36131897339136 in words is "thirty-six trillion, one hundred thirty-one billion, eight hundred ninety-seven million, three hundred thirty-nine thousand, one hundred thirty-six".