131345600 has 84 divisors (see below), whose sum is σ = 326739504. Its totient is φ = 51962880.

The previous prime is 131345593. The next prime is 131345633. The reversal of 131345600 is 6543131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164402 + ... + 165198.

It is an arithmetic number, because the mean of its divisors is an integer number (3889756).

Almost surely, 2^131345600 is an apocalyptic number.

131345600 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 131345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163369752).

131345600 is an abundant number, since it is smaller than the sum of its proper divisors (195393904).

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

131345600 is a wasteful number, since it uses less digits than its factorization.

131345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 131345600 is about 11460.6108039668. The cubic root of 131345600 is about 508.3215357530.

Adding to 131345600 its reverse (6543131), we get a palindrome (137888731).

The spelling of 131345600 in words is "one hundred thirty-one million, three hundred forty-five thousand, six hundred".