132595680 has 384 divisors, whose sum is σ = 526417920. Its totient is φ = 27371520.

The previous prime is 132595651. The next prime is 132595709. The reversal of 132595680 is 86595231.

It is an interprime number because it is at equal distance from previous prime (132595651) and next prime (132595709).

It is a super-2 number, since 2×132595680² = 35163228709324800, which contains 22 as substring.

It is a zygodrome in base 2.

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, 1979007 + ... + 1979073.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 2^132595680 is an apocalyptic number.

132595680 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 132595680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263208960).

132595680 is an abundant number, since it is smaller than the sum of its proper divisors (393822240).

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

132595680 is a wasteful number, since it uses less digits than its factorization.

132595680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 132595680 is about 11515.0197568220. The cubic root of 132595680 is about 509.9290943331.

The spelling of 132595680 in words is "one hundred thirty-two million, five hundred ninety-five thousand, six hundred eighty".