131678208 has 180 divisors, whose sum is σ = 408932160. Its totient is φ = 40697856.

The previous prime is 131678207. The next prime is 131678219. The reversal of 131678208 is 802876131.

131678208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131678201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2801641 + ... + 2801687.

Almost surely, 2^131678208 is an apocalyptic number.

131678208 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 131678208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204466080).

131678208 is an abundant number, since it is smaller than the sum of its proper divisors (277253952).

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

131678208 is an equidigital number, since it uses as much as digits as its factorization.

131678208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 131678208 is about 11475.1125484677. The cubic root of 131678208 is about 508.7502502680.

It can be divided in two parts, 1316 and 78208, that added together give a square (79524 = 282²).

The spelling of 131678208 in words is "one hundred thirty-one million, six hundred seventy-eight thousand, two hundred eight".