131901983136000 has 1728 divisors, whose sum is σ = 617466330464256. Its totient is φ = 26216441856000.

The previous prime is 131901983135999. The next prime is 131901983136031. The reversal of 131901983136000 is 631389109131.

It is a happy number.

131901983136000 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 1 + 9 + 8 + 31 + 3 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 509918697 + ... + 510177303.

It is an arithmetic number, because the mean of its divisors is an integer number (357330052352).

Almost surely, 2^{131901983136000} is an apocalyptic number.

131901983136000 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 131901983136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308733165232128).

131901983136000 is an abundant number, since it is smaller than the sum of its proper divisors (485564347328256).

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

131901983136000 is a wasteful number, since it uses less digits than its factorization.

131901983136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258685 (or 258658 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 131901983136000 in words is "one hundred thirty-one trillion, nine hundred one billion, nine hundred eighty-three million, one hundred thirty-six thousand".