131308632 has 192 divisors, whose sum is σ = 447720000. Its totient is φ = 34546176.

The previous prime is 131308631. The next prime is 131308643. The reversal of 131308632 is 236803131.

It is a happy number.

131308632 is a `hidden beast` number, since 13 + 13 + 0 + 8 + 632 = 666.

It is a super-2 number, since 2×131308632² = 34483913675422848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131308596 and 131308605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131308631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320844 + ... + 321252.

It is an arithmetic number, because the mean of its divisors is an integer number (2331875).

Almost surely, 2^131308632 is an apocalyptic number.

131308632 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 131308632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223860000).

131308632 is an abundant number, since it is smaller than the sum of its proper divisors (316411368).

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

131308632 is a wasteful number, since it uses less digits than its factorization.

131308632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 131308632 is about 11458.9978619424. The cubic root of 131308632 is about 508.2738412386.

The spelling of 131308632 in words is "one hundred thirty-one million, three hundred eight thousand, six hundred thirty-two".