132578082 has 96 divisors (see below), whose sum is σ = 365863680. Its totient is φ = 33747840.

The previous prime is 132578081. The next prime is 132578093. The reversal of 132578082 is 280875231.

132578082 is a `hidden beast` number, since 1 + 3 + 2 + 578 + 0 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (132578081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46107 + ... + 48897.

It is an arithmetic number, because the mean of its divisors is an integer number (3811080).

Almost surely, 2^132578082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132578082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182931840).

132578082 is an abundant number, since it is smaller than the sum of its proper divisors (233285598).

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

132578082 is a wasteful number, since it uses less digits than its factorization.

132578082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 132578082 is about 11514.2555990390. The cubic root of 132578082 is about 509.9065341983.

The spelling of 132578082 in words is "one hundred thirty-two million, five hundred seventy-eight thousand, eighty-two".