131867386605920 has 384 divisors, whose sum is σ = 384433846917120. Its totient is φ = 41765590056960.

The previous prime is 131867386605881. The next prime is 131867386605923. The reversal of 131867386605920 is 29506683768131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131867386605923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97914710 + ... + 99252330.

It is an arithmetic number, because the mean of its divisors is an integer number (1001129809680).

Almost surely, 2^{131867386605920} is an apocalyptic number.

131867386605920 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 131867386605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192216923458560).

131867386605920 is an abundant number, since it is smaller than the sum of its proper divisors (252566460311200).

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

131867386605920 is a wasteful number, since it uses less digits than its factorization.

131867386605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337798 (or 1337790 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 65.

The spelling of 131867386605920 in words is "one hundred thirty-one trillion, eight hundred sixty-seven billion, three hundred eighty-six million, six hundred five thousand, nine hundred twenty".