132735316 has 36 divisors (see below), whose sum is σ = 273942228. Its totient is φ = 56101248.

The previous prime is 132735293. The next prime is 132735347. The reversal of 132735316 is 613537231.

It can be written as a sum of positive squares in 2 ways, for example, as 93045316 + 39690000 = 9646^2 + 6300^2 .

It is a super-2 number, since 2×132735316² = 35237328227239712, 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 11 ways as a sum of consecutive naturals, for example, 9670 + ... + 18946.

Almost surely, 2^132735316 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 132735316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136971114).

132735316 is an abundant number, since it is smaller than the sum of its proper divisors (141206912).

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

132735316 is a wasteful number, since it uses less digits than its factorization.

132735316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9359 counting only the distinct ones).

The product of its digits is 11340, while the sum is 31.

The square root of 132735316 is about 11521.0813728573. The cubic root of 132735316 is about 510.1080329898.

The spelling of 132735316 in words is "one hundred thirty-two million, seven hundred thirty-five thousand, three hundred sixteen".