132352704 has 210 divisors, whose sum is σ = 433287932. Its totient is φ = 39916800.

The previous prime is 132352699. The next prime is 132352739. The reversal of 132352704 is 407253231.

132352704 is a `hidden beast` number, since 132 + 3 + 527 + 0 + 4 = 666.

It is a super-2 number, since 2×132352704² = 35034476512223232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 627159 + ... + 627369.

Almost surely, 2^132352704 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 132352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216643966).

132352704 is an abundant number, since it is smaller than the sum of its proper divisors (300935228).

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

132352704 is a wasteful number, since it uses less digits than its factorization.

132352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 132352704 is about 11504.4645246965. The cubic root of 132352704 is about 509.6174293538.

It can be divided in two parts, 132 and 352704, that added together give a square (352836 = 594²).

The spelling of 132352704 in words is "one hundred thirty-two million, three hundred fifty-two thousand, seven hundred four".