131971840 has 288 divisors, whose sum is σ = 428553216. Its totient is φ = 37601280.

The previous prime is 131971831. The next prime is 131971883. The reversal of 131971840 is 48179131.

It is a junction number, because it is equal to n+sod(n) for n = 131971796 and 131971805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281229 + ... + 1281331.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^131971840 is an apocalyptic number.

131971840 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 131971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214276608).

131971840 is an abundant number, since it is smaller than the sum of its proper divisors (296581376).

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

131971840 is a wasteful number, since it uses less digits than its factorization.

131971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 131971840 is about 11487.8997210108. The cubic root of 131971840 is about 509.1281271492.

The spelling of 131971840 in words is "one hundred thirty-one million, nine hundred seventy-one thousand, eight hundred forty".