131667588 has 72 divisors (see below), whose sum is σ = 359894808. Its totient is φ = 40347648.

The previous prime is 131667551. The next prime is 131667589. The reversal of 131667588 is 885766131.

131667588 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 67 + 588 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 129004164 = 1632^2 + 11358^2 .

It is not an unprimeable number, because it can be changed into a prime (131667589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164806 + ... + 165602.

It is an arithmetic number, because the mean of its divisors is an integer number (4998539).

Almost surely, 2^131667588 is an apocalyptic number.

131667588 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 131667588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179947404).

131667588 is an abundant number, since it is smaller than the sum of its proper divisors (228227220).

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

131667588 is a wasteful number, since it uses less digits than its factorization.

131667588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1168 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 131667588 is about 11474.6497985777. The cubic root of 131667588 is about 508.7365728013.

The spelling of 131667588 in words is "one hundred thirty-one million, six hundred sixty-seven thousand, five hundred eighty-eight".