131301975840 has 288 divisors, whose sum is σ = 481535518464. Its totient is φ = 29986467840.

The previous prime is 131301975787. The next prime is 131301975851. The reversal of 131301975840 is 48579103131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 131301975792 and 131301975801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53789020 + ... + 53791460.

It is an arithmetic number, because the mean of its divisors is an integer number (1671998328).

Almost surely, 2^131301975840 is an apocalyptic number.

131301975840 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 131301975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240767759232).

131301975840 is an abundant number, since it is smaller than the sum of its proper divisors (350233542624).

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

131301975840 is a wasteful number, since it uses less digits than its factorization.

131301975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 131301975840 in words is "one hundred thirty-one billion, three hundred one million, nine hundred seventy-five thousand, eight hundred forty".