131693776636032 has 640 divisors, whose sum is σ = 447477691898160. Its totient is φ = 38087714930688.

The previous prime is 131693776636031. The next prime is 131693776636073. The reversal of 131693776636032 is 230636677396131.

It is a happy number.

131693776636032 is a `hidden beast` number, since 1 + 3 + 16 + 9 + 3 + 7 + 7 + 6 + 6 + 3 + 603 + 2 = 666.

131693776636032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41754652462656 + 89939124173376 = 6461784^2 + 9483624^2 .

It is a super-2 number, since 2×131693776636032² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131693776636031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1771159368 + ... + 1771233720.

Almost surely, 2^{131693776636032} is an apocalyptic number.

131693776636032 is a gapful number since it is divisible by the number (12) 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 131693776636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223738845949080).

131693776636032 is an abundant number, since it is smaller than the sum of its proper divisors (315783915262128).

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

131693776636032 is a wasteful number, since it uses less digits than its factorization.

131693776636032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75182 (or 75161 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 63.

The spelling of 131693776636032 in words is "one hundred thirty-one trillion, six hundred ninety-three billion, seven hundred seventy-six million, six hundred thirty-six thousand, thirty-two".