132705305 has 16 divisors (see below), whose sum is σ = 165116880. Its totient is φ = 102267648.

The previous prime is 132705277. The next prime is 132705311. The reversal of 132705305 is 503507231.

It can be written as a sum of positive squares in 8 ways, for example, as 5895184 + 126810121 = 2428^2 + 11261^2 .

It is a cyclic number.

It is not a de Polignac number, because 132705305 - 2⁶ = 132705241 is a prime.

It is a super-2 number, since 2×132705305² = 35221395950286050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88139 + ... + 89631.

It is an arithmetic number, because the mean of its divisors is an integer number (10319805).

Almost surely, 2^132705305 is an apocalyptic number.

It is an amenable number.

132705305 is a deficient number, since it is larger than the sum of its proper divisors (32411575).

132705305 is a wasteful number, since it uses less digits than its factorization.

132705305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 132705305 is about 11519.7788607247. The cubic root of 132705305 is about 510.0695855327.

The spelling of 132705305 in words is "one hundred thirty-two million, seven hundred five thousand, three hundred five".