131083560 has 192 divisors, whose sum is σ = 445798080. Its totient is φ = 33377280.

The previous prime is 131083543. The next prime is 131083573. The reversal of 131083560 is 65380131.

131083560 is a `hidden beast` number, since 13 + 10 + 83 + 560 = 666.

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, 1225027 + ... + 1225133.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^131083560 is an apocalyptic number.

131083560 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 131083560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

131083560 is an abundant number, since it is smaller than the sum of its proper divisors (314714520).

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

131083560 is a wasteful number, since it uses less digits than its factorization.

131083560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131083560 is about 11449.1728958908. The cubic root of 131083560 is about 507.9832697489.

The spelling of 131083560 in words is "one hundred thirty-one million, eighty-three thousand, five hundred sixty".