131008800 has 432 divisors, whose sum is σ = 514654560. Its totient is φ = 28753920.

The previous prime is 131008799. The next prime is 131008837. The reversal of 131008800 is 8800131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6895191 + ... + 6895209.

It is an arithmetic number, because the mean of its divisors is an integer number (1191330).

Almost surely, 2^131008800 is an apocalyptic number.

131008800 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 131008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257327280).

131008800 is an abundant number, since it is smaller than the sum of its proper divisors (383645760).

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

131008800 is a wasteful number, since it uses less digits than its factorization.

131008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 131008800 is about 11445.9075655887. The cubic root of 131008800 is about 507.8866798302.

Adding to 131008800 its reverse (8800131), we get a palindrome (139808931).

The spelling of 131008800 in words is "one hundred thirty-one million, eight thousand, eight hundred".