131906208 has 96 divisors (see below), whose sum is σ = 416586240. Its totient is φ = 35700480.

The previous prime is 131906191. The next prime is 131906231. The reversal of 131906208 is 802609131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7603 + ... + 17933.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2^131906208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131906208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120).

131906208 is an abundant number, since it is smaller than the sum of its proper divisors (284680032).

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

131906208 is a wasteful number, since it uses less digits than its factorization.

131906208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 131906208 is about 11485.0427948702. The cubic root of 131906208 is about 509.0437135902.

The spelling of 131906208 in words is "one hundred thirty-one million, nine hundred six thousand, two hundred eight".