131731600 has 360 divisors, whose sum is σ = 441721728. Its totient is φ = 37094400.

The previous prime is 131731591. The next prime is 131731609. The reversal of 131731600 is 6137131.

It is an interprime number because it is at equal distance from previous prime (131731591) and next prime (131731609).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (131731609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2802777 + ... + 2802823.

Almost surely, 2^131731600 is an apocalyptic number.

131731600 is a gapful number since it is divisible by the number (10) 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 131731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220860864).

131731600 is an abundant number, since it is smaller than the sum of its proper divisors (309990128).

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

131731600 is a wasteful number, since it uses less digits than its factorization.

131731600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 131731600 is about 11477.4387386734. The cubic root of 131731600 is about 508.8190025272.

Adding to 131731600 its reverse (6137131), we get a palindrome (137868731).

The spelling of 131731600 in words is "one hundred thirty-one million, seven hundred thirty-one thousand, six hundred".