132806016 has 192 divisors, whose sum is σ = 448081920. Its totient is φ = 36965376.

The previous prime is 132805961. The next prime is 132806041. The reversal of 132806016 is 610608231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346561 + ... + 346943.

It is an arithmetic number, because the mean of its divisors is an integer number (2333760).

Almost surely, 2^132806016 is an apocalyptic number.

132806016 is a gapful number since it is divisible by the number (16) 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 132806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224040960).

132806016 is an abundant number, since it is smaller than the sum of its proper divisors (315275904).

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

132806016 is a wasteful number, since it uses less digits than its factorization.

132806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 132806016 is about 11524.1492527648. The cubic root of 132806016 is about 510.1985847177.

The spelling of 132806016 in words is "one hundred thirty-two million, eight hundred six thousand, sixteen".