132585392609280 has 1920 divisors, whose sum is σ = 548505829872000. Its totient is φ = 30371613769728.

The previous prime is 132585392609251. The next prime is 132585392609309. The reversal of 132585392609280 is 82906293585231.

132585392609280 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 8 + 539 + 2 + 6 + 0 + 92 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132585392609251) and next prime (132585392609309).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9176087496 + ... + 9176101944.

It is an arithmetic number, because the mean of its divisors is an integer number (285680119725).

Almost surely, 2^{132585392609280} is an apocalyptic number.

132585392609280 is a gapful number since it is divisible by the number (10) 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 132585392609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274252914936000).

132585392609280 is an abundant number, since it is smaller than the sum of its proper divisors (415920437262720).

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

132585392609280 is a wasteful number, since it uses less digits than its factorization.

132585392609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14561 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 132585392609280 in words is "one hundred thirty-two trillion, five hundred eighty-five billion, three hundred ninety-two million, six hundred nine thousand, two hundred eighty".