131865171898240 has 256 divisors, whose sum is σ = 344855807294400. Its totient is φ = 47817630023680.

The previous prime is 131865171898237. The next prime is 131865171898253. The reversal of 131865171898240 is 42898171568131.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4575936312 + ... + 4575965128.

It is a 1-persistent number, because it is pandigital, but 2⋅131865171898240 = 263730343796480 is not.

Almost surely, 2^{131865171898240} is an apocalyptic number.

131865171898240 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 131865171898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172427903647200).

131865171898240 is an abundant number, since it is smaller than the sum of its proper divisors (212990635396160).

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

131865171898240 is a wasteful number, since it uses less digits than its factorization.

131865171898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30633 (or 30621 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 64.

The spelling of 131865171898240 in words is "one hundred thirty-one trillion, eight hundred sixty-five billion, one hundred seventy-one million, eight hundred ninety-eight thousand, two hundred forty".