131745823488 has 360 divisors, whose sum is σ = 404721982896. Its totient is φ = 42600038400.

The previous prime is 131745823477. The next prime is 131745823537. The reversal of 131745823488 is 884328547131.

131745823488 is a `hidden beast` number, since 1 + 3 + 17 + 4 + 582 + 3 + 48 + 8 = 666.

It is a super-2 number, since 2×131745823488² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204892095 + ... + 204892737.

Almost surely, 2^131745823488 is an apocalyptic number.

131745823488 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 131745823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202360991448).

131745823488 is an abundant number, since it is smaller than the sum of its proper divisors (272976159408).

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

131745823488 is an equidigital number, since it uses as much as digits as its factorization.

131745823488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 930 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 131745823488 in words is "one hundred thirty-one billion, seven hundred forty-five million, eight hundred twenty-three thousand, four hundred eighty-eight".