131965884000 has 288 divisors, whose sum is σ = 483458976000. Its totient is φ = 34055424000.

The previous prime is 131965883999. The next prime is 131965884077. The reversal of 131965884000 is 488569131.

131965884000 is a `hidden beast` number, since 1 + 3 + 196 + 58 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056876 + ... + 1175124.

It is an arithmetic number, because the mean of its divisors is an integer number (1678677000).

Almost surely, 2^131965884000 is an apocalyptic number.

131965884000 is a gapful number since it is divisible by the number (10) 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 131965884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241729488000).

131965884000 is an abundant number, since it is smaller than the sum of its proper divisors (351493092000).

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

131965884000 is a wasteful number, since it uses less digits than its factorization.

131965884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118311 (or 118290 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 131965884000 in words is "one hundred thirty-one billion, nine hundred sixty-five million, eight hundred eighty-four thousand".