131827920 has 160 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 29852160.

The previous prime is 131827897. The next prime is 131827921. The reversal of 131827920 is 29728131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131827921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219781 + ... + 220379.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^131827920 is an apocalyptic number.

131827920 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 131827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

131827920 is an abundant number, since it is smaller than the sum of its proper divisors (339570480).

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

131827920 is a wasteful number, since it uses less digits than its factorization.

131827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 131827920 is about 11481.6340300499. The cubic root of 131827920 is about 508.9429857026.

The spelling of 131827920 in words is "one hundred thirty-one million, eight hundred twenty-seven thousand, nine hundred twenty".