131908308165000 has 1280 divisors, whose sum is σ = 526784974848000. Its totient is φ = 30351905280000.

The previous prime is 131908308164953. The next prime is 131908308165001. The reversal of 131908308165000 is 561803809131.

It is a happy number.

131908308165000 is a `hidden beast` number, since 1 + 31 + 9 + 0 + 8 + 30 + 81 + 6 + 500 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131908308165001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1351706209 + ... + 1351803791.

It is an arithmetic number, because the mean of its divisors is an integer number (411550761600).

Almost surely, 2^{131908308165000} is an apocalyptic number.

131908308165000 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 131908308165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263392487424000).

131908308165000 is an abundant number, since it is smaller than the sum of its proper divisors (394876666683000).

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

131908308165000 is a wasteful number, since it uses less digits than its factorization.

131908308165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97685 (or 97660 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 131908308165000 in words is "one hundred thirty-one trillion, nine hundred eight billion, three hundred eight million, one hundred sixty-five thousand".