132704208 has 360 divisors, whose sum is σ = 495593280. Its totient is φ = 32348160.

The previous prime is 132704137. The next prime is 132704213. The reversal of 132704208 is 802407231.

It is a super-2 number, since 2×132704208² = 35220813641814528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3236668 + ... + 3236708.

It is an arithmetic number, because the mean of its divisors is an integer number (1376648).

Almost surely, 2^132704208 is an apocalyptic number.

132704208 is a gapful number since it is divisible by the number (18) 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 132704208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247796640).

132704208 is an abundant number, since it is smaller than the sum of its proper divisors (362889072).

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

132704208 is a wasteful number, since it uses less digits than its factorization.

132704208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132704208 is about 11519.7312468651. The cubic root of 132704208 is about 510.0681800429.

The spelling of 132704208 in words is "one hundred thirty-two million, seven hundred four thousand, two hundred eight".