132719543424 has 192 divisors, whose sum is σ = 417088526400. Its totient is φ = 40261294080.

The previous prime is 132719543423. The next prime is 132719543441. The reversal of 132719543424 is 424345917231.

132719543424 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 195 + 434 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×132719543424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132719543424.

It is not an unprimeable number, because it can be changed into a prime (132719543423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000887 + ... + 1125705.

It is an arithmetic number, because the mean of its divisors is an integer number (2172336075).

Almost surely, 2^132719543424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132719543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208544263200).

132719543424 is an abundant number, since it is smaller than the sum of its proper divisors (284368982976).

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

132719543424 is a wasteful number, since it uses less digits than its factorization.

132719543424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124923 (or 124908 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 132719543424 in words is "one hundred thirty-two billion, seven hundred nineteen million, five hundred forty-three thousand, four hundred twenty-four".