135680832 has 140 divisors (see below), whose sum is σ = 459780640. Its totient is φ = 38755584.

The previous prime is 135680803. The next prime is 135680833. The reversal of 135680832 is 238086531.

135680832 is a `hidden beast` number, since 13 + 568 + 0 + 83 + 2 = 666.

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 (135680833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34419 + ... + 38157.

Almost surely, 2^135680832 is an apocalyptic number.

135680832 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 135680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229890320).

135680832 is an abundant number, since it is smaller than the sum of its proper divisors (324099808).

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

135680832 is an equidigital number, since it uses as much as digits as its factorization.

135680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3751 counting only the distinct ones).

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

The square root of 135680832 is about 11648.2115365407. The cubic root of 135680832 is about 513.8537134106.

The spelling of 135680832 in words is "one hundred thirty-five million, six hundred eighty thousand, eight hundred thirty-two".