131641600 has 108 divisors (see below), whose sum is σ = 331773904. Its totient is φ = 51701760.

The previous prime is 131641579. The next prime is 131641607. The reversal of 131641600 is 6146131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131641607) 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 11 ways as a sum of consecutive naturals, for example, 428647 + ... + 428953.

Almost surely, 2^131641600 is an apocalyptic number.

131641600 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 131641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165886952).

131641600 is an abundant number, since it is smaller than the sum of its proper divisors (200132304).

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

131641600 is an equidigital number, since it uses as much as digits as its factorization.

131641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 131641600 is about 11473.5173334074. The cubic root of 131641600 is about 508.7030998305.

Adding to 131641600 its reverse (6146131), we get a palindrome (137787731).

The spelling of 131641600 in words is "one hundred thirty-one million, six hundred forty-one thousand, six hundred".