131988455424 has 528 divisors, whose sum is σ = 464124792768. Its totient is φ = 36691771392.

The previous prime is 131988455411. The next prime is 131988455513. The reversal of 131988455424 is 424554889131.

131988455424 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 8 + 84 + 554 + 2 + 4 = 666.

It is a super-4 number, since 4×131988455424⁴ (a number of 46 digits) contains 4444 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3567255534 + ... + 3567255570.

Almost surely, 2^131988455424 is an apocalyptic number.

131988455424 is a gapful number since it is divisible by the number (14) 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 131988455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232062396384).

131988455424 is an abundant number, since it is smaller than the sum of its proper divisors (332136337344).

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

131988455424 is an frugal number, since it uses more digits than its factorization.

131988455424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 49 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 131988455424 in words is "one hundred thirty-one billion, nine hundred eighty-eight million, four hundred fifty-five thousand, four hundred twenty-four".