131806800 has 360 divisors, whose sum is σ = 503717760. Its totient is φ = 31795200.

The previous prime is 131806799. The next prime is 131806817. The reversal of 131806800 is 8608131.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent 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, 2804377 + ... + 2804423.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^131806800 is an apocalyptic number.

131806800 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 131806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251858880).

131806800 is an abundant number, since it is smaller than the sum of its proper divisors (371910960).

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

131806800 is a wasteful number, since it uses less digits than its factorization.

131806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 131806800 is about 11480.7142634942. The cubic root of 131806800 is about 508.9158051936.

The spelling of 131806800 in words is "one hundred thirty-one million, eight hundred six thousand, eight hundred".