132835680 has 192 divisors, whose sum is σ = 471199680. Its totient is φ = 34947072.

The previous prime is 132835673. The next prime is 132835687. The reversal of 132835680 is 86538231.

132835680 is a `hidden beast` number, since 13 + 2 + 83 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132835673) and next prime (132835687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132835687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418882 + ... + 419198.

It is an arithmetic number, because the mean of its divisors is an integer number (2454165).

Almost surely, 2^132835680 is an apocalyptic number.

132835680 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 132835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235599840).

132835680 is an abundant number, since it is smaller than the sum of its proper divisors (338364000).

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

132835680 is a wasteful number, since it uses less digits than its factorization.

132835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 132835680 is about 11525.4362173412. The cubic root of 132835680 is about 510.2365684492.

The spelling of 132835680 in words is "one hundred thirty-two million, eight hundred thirty-five thousand, six hundred eighty".