131238051768000 has 896 divisors, whose sum is σ = 492916803425280. Its totient is φ = 34173135360000.

The previous prime is 131238051767957. The next prime is 131238051768001. The reversal of 131238051768000 is 867150832131.

It is a happy number.

131238051768000 is a `hidden beast` number, since 1 + 3 + 123 + 8 + 0 + 517 + 6 + 8 + 0 + 0 + 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 (131238051768001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2415500835 + ... + 2415555165.

Almost surely, 2^{131238051768000} is an apocalyptic number.

131238051768000 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 131238051768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246458401712640).

131238051768000 is an abundant number, since it is smaller than the sum of its proper divisors (361678751657280).

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

131238051768000 is a wasteful number, since it uses less digits than its factorization.

131238051768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54631 (or 54605 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 131238051768000 in words is "one hundred thirty-one trillion, two hundred thirty-eight billion, fifty-one million, seven hundred sixty-eight thousand".