132078006 has 128 divisors (see below), whose sum is σ = 335232000. Its totient is φ = 38320128.

The previous prime is 132077989. The next prime is 132078007. The reversal of 132078006 is 600870231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132078007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684246 + ... + 684438.

It is an arithmetic number, because the mean of its divisors is an integer number (2619000).

Almost surely, 2^132078006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132078006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167616000).

132078006 is an abundant number, since it is smaller than the sum of its proper divisors (203153994).

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

132078006 is a wasteful number, since it uses less digits than its factorization.

132078006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132078006 is about 11492.5195670923. The cubic root of 132078006 is about 509.2646148751.

The spelling of 132078006 in words is "one hundred thirty-two million, seventy-eight thousand, six".