131606208 has 140 divisors (see below), whose sum is σ = 398312640. Its totient is φ = 42951168.

The previous prime is 131606203. The next prime is 131606213. The reversal of 131606208 is 802606131.

131606208 is a `hidden beast` number, since 1 + 31 + 6 + 0 + 620 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (131606203) and next prime (131606213).

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

It is not an unprimeable number, because it can be changed into a prime (131606203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274513 + ... + 274991.

Almost surely, 2^131606208 is an apocalyptic number.

131606208 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 131606208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199156320).

131606208 is an abundant number, since it is smaller than the sum of its proper divisors (266706432).

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

131606208 is an equidigital number, since it uses as much as digits as its factorization.

131606208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131606208 is about 11471.9748953700. The cubic root of 131606208 is about 508.6575072675.

The spelling of 131606208 in words is "one hundred thirty-one million, six hundred six thousand, two hundred eight".