132057360 has 120 divisors (see below), whose sum is σ = 469623960. Its totient is φ = 33140736.

The previous prime is 132057347. The next prime is 132057361. The reversal of 132057360 is 63750231.

It is a happy number.

132057360 is a `hidden beast` number, since 1 + 32 + 0 + 573 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 107495424 = 4956^2 + 10368^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (132057361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6846 + ... + 17634.

It is an arithmetic number, because the mean of its divisors is an integer number (3913533).

Almost surely, 2^132057360 is an apocalyptic number.

132057360 is a gapful number since it is divisible by the number (10) 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 132057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234811980).

132057360 is an abundant number, since it is smaller than the sum of its proper divisors (337566600).

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

132057360 is a wasteful number, since it uses less digits than its factorization.

132057360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10825 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 132057360 is about 11491.6212955353. The cubic root of 132057360 is about 509.2380779685.

The spelling of 132057360 in words is "one hundred thirty-two million, fifty-seven thousand, three hundred sixty".