131261800 has 48 divisors (see below), whose sum is σ = 312301440. Its totient is φ = 51280320.

The previous prime is 131261797. The next prime is 131261821. The reversal of 131261800 is 8162131.

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, 969 + ... + 16231.

It is an arithmetic number, because the mean of its divisors is an integer number (6506280).

Almost surely, 2^131261800 is an apocalyptic number.

131261800 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 131261800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156150720).

131261800 is an abundant number, since it is smaller than the sum of its proper divisors (181039640).

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

131261800 is a wasteful number, since it uses less digits than its factorization.

131261800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15322 (or 15313 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 131261800 is about 11456.9542200360. The cubic root of 131261800 is about 508.2134077631.

The spelling of 131261800 in words is "one hundred thirty-one million, two hundred sixty-one thousand, eight hundred".