132580687680 has 336 divisors, whose sum is σ = 544078607040. Its totient is φ = 30304060416.

The previous prime is 132580687667. The next prime is 132580687693. The reversal of 132580687680 is 86786085231.

It is an interprime number because it is at equal distance from previous prime (132580687667) and next prime (132580687693).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266779 + ... + 579941.

Almost surely, 2^132580687680 is an apocalyptic number.

132580687680 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 132580687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272039303520).

132580687680 is an abundant number, since it is smaller than the sum of its proper divisors (411497919360).

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

132580687680 is a wasteful number, since it uses less digits than its factorization.

132580687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313203 (or 313180 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 132580687680 in words is "one hundred thirty-two billion, five hundred eighty million, six hundred eighty-seven thousand, six hundred eighty".