132830784 has 168 divisors, whose sum is σ = 404481792. Its totient is φ = 41610240.

The previous prime is 132830749. The next prime is 132830791. The reversal of 132830784 is 487038231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767722 + ... + 767894.

Almost surely, 2^132830784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202240896).

132830784 is an abundant number, since it is smaller than the sum of its proper divisors (271651008).

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

132830784 is a wasteful number, since it uses less digits than its factorization.

132830784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 132830784 is about 11525.2238156142. The cubic root of 132830784 is about 510.2302996793.

The spelling of 132830784 in words is "one hundred thirty-two million, eight hundred thirty thousand, seven hundred eighty-four".