131867008 has 64 divisors (see below), whose sum is σ = 323356320. Its totient is φ = 52162560.

The previous prime is 131866991. The next prime is 131867009. The reversal of 131867008 is 800768131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131867009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5988 + ... + 17308.

Almost surely, 2^131867008 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 131867008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161678160).

131867008 is an abundant number, since it is smaller than the sum of its proper divisors (191489312).

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

131867008 is a wasteful number, since it uses less digits than its factorization.

131867008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 131867008 is about 11483.3361006286. The cubic root of 131867008 is about 508.9932825784.

The spelling of 131867008 in words is "one hundred thirty-one million, eight hundred sixty-seven thousand, eight".