131962836096 has 1440 divisors, whose sum is σ = 521394578100. Its totient is φ = 32969244672.

The previous prime is 131962836029. The next prime is 131962836169. The reversal of 131962836096 is 690638269131.

131962836096 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 6 + 28 + 3 + 609 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32737836096 + 99225000000 = 180936^2 + 315000^2 .

It is a super-2 number, since 2×131962836096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2489864806 + ... + 2489864858.

Almost surely, 2^131962836096 is an apocalyptic number.

131962836096 is a gapful number since it is divisible by the number (16) 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 131962836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260697289050).

131962836096 is an abundant number, since it is smaller than the sum of its proper divisors (389431742004).

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

131962836096 is a wasteful number, since it uses less digits than its factorization.

131962836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 131962836096 in words is "one hundred thirty-one billion, nine hundred sixty-two million, eight hundred thirty-six thousand, ninety-six".