131329755648 has 1600 divisors, whose sum is σ = 539020500480. Its totient is φ = 30831280128.

The previous prime is 131329755647. The next prime is 131329755719. The reversal of 131329755648 is 846557923131.

It is a happy number.

131329755648 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 9 + 75 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131329755594 and 131329755603.

It is not an unprimeable number, because it can be changed into a prime (131329755647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1475615188 + ... + 1475615276.

Almost surely, 2^131329755648 is an apocalyptic number.

131329755648 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 131329755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269510250240).

131329755648 is an abundant number, since it is smaller than the sum of its proper divisors (407690744832).

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

131329755648 is a wasteful number, since it uses less digits than its factorization.

131329755648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 131329755648 in words is "one hundred thirty-one billion, three hundred twenty-nine million, seven hundred fifty-five thousand, six hundred forty-eight".