132765600743424 has 1152 divisors, whose sum is σ = 444409389665280. Its totient is φ = 37849006080000.

The previous prime is 132765600743423. The next prime is 132765600743561. The reversal of 132765600743424 is 424347006567231.

132765600743424 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 5 + 600 + 7 + 4 + 3 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (132765600743423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115348045249 + ... + 115348046399.

It is an arithmetic number, because the mean of its divisors is an integer number (385772039640).

Almost surely, 2^{132765600743424} 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 132765600743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222204694832640).

132765600743424 is an abundant number, since it is smaller than the sum of its proper divisors (311643788921856).

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

132765600743424 is a wasteful number, since it uses less digits than its factorization.

132765600743424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 132765600743424 in words is "one hundred thirty-two trillion, seven hundred sixty-five billion, six hundred million, seven hundred forty-three thousand, four hundred twenty-four".