132505361231472 has 320 divisors, whose sum is σ = 403890703626240. Its totient is φ = 41448762077184.

The previous prime is 132505361231429. The next prime is 132505361231513. The reversal of 132505361231472 is 274132163505231.

It is a happy number.

132505361231472 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 0 + 53 + 6 + 123 + 1 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8533859773 + ... + 8533875299.

It is an arithmetic number, because the mean of its divisors is an integer number (1262158448832).

Almost surely, 2^{132505361231472} is an apocalyptic number.

132505361231472 is a gapful number since it is divisible by the number (12) 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 132505361231472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201945351813120).

132505361231472 is an abundant number, since it is smaller than the sum of its proper divisors (271385342394768).

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

132505361231472 is a wasteful number, since it uses less digits than its factorization.

132505361231472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18873 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 132505361231472 in words is "one hundred thirty-two trillion, five hundred five billion, three hundred sixty-one million, two hundred thirty-one thousand, four hundred seventy-two".