131507402028768 has 384 divisors, whose sum is σ = 425448350208000. Its totient is φ = 39330316247040.

The previous prime is 131507402028763. The next prime is 131507402028773. The reversal of 131507402028768 is 867820204705131.

131507402028768 is a `hidden beast` number, since 1 + 3 + 1 + 507 + 40 + 2 + 0 + 28 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (131507402028763) and next prime (131507402028773).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131507402028763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31696173 + ... + 35604243.

It is an arithmetic number, because the mean of its divisors is an integer number (1107938412000).

Almost surely, 2^{131507402028768} is an apocalyptic number.

131507402028768 is a gapful number since it is divisible by the number (18) 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 131507402028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212724175104000).

131507402028768 is an abundant number, since it is smaller than the sum of its proper divisors (293940948179232).

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

131507402028768 is a wasteful number, since it uses less digits than its factorization.

131507402028768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908215 (or 3908201 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 131507402028768 in words is "one hundred thirty-one trillion, five hundred seven billion, four hundred two million, twenty-eight thousand, seven hundred sixty-eight".