131805828 has 144 divisors (see below), whose sum is σ = 439979904. Its totient is φ = 32209920.

The previous prime is 131805809. The next prime is 131805833. The reversal of 131805828 is 828508131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131805792 and 131805801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45726 + ... + 48522.

It is an arithmetic number, because the mean of its divisors is an integer number (3055416).

Almost surely, 2^131805828 is an apocalyptic number.

131805828 is a gapful number since it is divisible by the number (18) 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 131805828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219989952).

131805828 is an abundant number, since it is smaller than the sum of its proper divisors (308174076).

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

131805828 is a wasteful number, since it uses less digits than its factorization.

131805828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 131805828 is about 11480.6719315552. The cubic root of 131805828 is about 508.9145542025.

The spelling of 131805828 in words is "one hundred thirty-one million, eight hundred five thousand, eight hundred twenty-eight".