132516000 has 240 divisors, whose sum is σ = 487567080. Its totient is φ = 35251200.

The previous prime is 132515963. The next prime is 132516011. The reversal of 132516000 is 615231.

132516000 is a `hidden beast` number, since 13 + 2 + 51 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70358544 + 62157456 = 8388^2 + 7884^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323796 + ... + 324204.

Almost surely, 2^132516000 is an apocalyptic number.

132516000 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 132516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243783540).

132516000 is an abundant number, since it is smaller than the sum of its proper divisors (355051080).

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

132516000 is an equidigital number, since it uses as much as digits as its factorization.

132516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132516000 is about 11511.5594078300. The cubic root of 132516000 is about 509.8269308948.

The spelling of 132516000 in words is "one hundred thirty-two million, five hundred sixteen thousand".