131965290208 has 48 divisors (see below), whose sum is σ = 265324320576. Its totient is φ = 64587128320.

The previous prime is 131965290167. The next prime is 131965290211. The reversal of 131965290208 is 802092569131.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640710 + ... + 821242.

It is an arithmetic number, because the mean of its divisors is an integer number (5527590012).

Almost surely, 2^131965290208 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 131965290208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132662160288).

131965290208 is an abundant number, since it is smaller than the sum of its proper divisors (133359030368).

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

131965290208 is a wasteful number, since it uses less digits than its factorization.

131965290208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181027 (or 181019 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 131965290208 in words is "one hundred thirty-one billion, nine hundred sixty-five million, two hundred ninety thousand, two hundred eight".