131586120 has 160 divisors (see below), whose sum is σ = 468487800. Its totient is φ = 33011712.

The previous prime is 131586109. The next prime is 131586181. The reversal of 131586120 is 21685131.

It can be written as a sum of positive squares in 4 ways, for example, as 105637284 + 25948836 = 10278^2 + 5094^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53886 + ... + 56274.

Almost surely, 2^131586120 is an apocalyptic number.

131586120 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 131586120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234243900).

131586120 is an abundant number, since it is smaller than the sum of its proper divisors (336901680).

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

131586120 is a wasteful number, since it uses less digits than its factorization.

131586120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 131586120 is about 11471.0993370296. The cubic root of 131586120 is about 508.6316259354.

The spelling of 131586120 in words is "one hundred thirty-one million, five hundred eighty-six thousand, one hundred twenty".