132829704 has 192 divisors, whose sum is σ = 448156800. Its totient is φ = 34670592.

The previous prime is 132829691. The next prime is 132829733. The reversal of 132829704 is 407928231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316807 + ... + 317225.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2^132829704 is an apocalyptic number.

132829704 is a gapful number since it is divisible by the number (14) 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 132829704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

132829704 is an abundant number, since it is smaller than the sum of its proper divisors (315327096).

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

132829704 is a wasteful number, since it uses less digits than its factorization.

132829704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 132829704 is about 11525.1769617651. The cubic root of 132829704 is about 510.2289168416.

The spelling of 132829704 in words is "one hundred thirty-two million, eight hundred twenty-nine thousand, seven hundred four".