132946560 has 96 divisors (see below), whose sum is σ = 459100980. Its totient is φ = 35450880.

The previous prime is 132946543. The next prime is 132946573. The reversal of 132946560 is 65649231.

It is a happy number.

132946560 is a `hidden beast` number, since 1 + 3 + 2 + 94 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132158016 + 788544 = 11496^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 5781 + ... + 17300.

Almost surely, 2^132946560 is an apocalyptic number.

132946560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132946560 is an abundant number, since it is smaller than the sum of its proper divisors (326154420).

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

132946560 is a wasteful number, since it uses less digits than its factorization.

132946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23106 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 132946560 is about 11530.2454440484. The cubic root of 132946560 is about 510.3784964228.

The spelling of 132946560 in words is "one hundred thirty-two million, nine hundred forty-six thousand, five hundred sixty".