131824168632 has 160 divisors (see below), whose sum is σ = 401350950000. Its totient is φ = 40181930496.

The previous prime is 131824168631. The next prime is 131824168703. The reversal of 131824168632 is 236861428131.

131824168632 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 2 + 4 + 1 + 6 + 8 + 632 = 666.

It is a super-2 number, since 2×131824168632² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131824168631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 828244 + ... + 974492.

Almost surely, 2^131824168632 is an apocalyptic number.

131824168632 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 131824168632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200675475000).

131824168632 is an abundant number, since it is smaller than the sum of its proper divisors (269526781368).

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

131824168632 is a wasteful number, since it uses less digits than its factorization.

131824168632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146387 (or 146374 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

It can be divided in two parts, 13182 and 4168632, that added together give a palindrome (4181814).

The spelling of 131824168632 in words is "one hundred thirty-one billion, eight hundred twenty-four million, one hundred sixty-eight thousand, six hundred thirty-two".