132786016 has 48 divisors (see below), whose sum is σ = 288202320. Its totient is φ = 59719680.

The previous prime is 132786011. The next prime is 132786029. The reversal of 132786016 is 610687231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132786011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32200 + ... + 36088.

It is an arithmetic number, because the mean of its divisors is an integer number (6004215).

Almost surely, 2^132786016 is an apocalyptic number.

132786016 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 132786016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144101160).

132786016 is an abundant number, since it is smaller than the sum of its proper divisors (155416304).

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

132786016 is a wasteful number, since it uses less digits than its factorization.

132786016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 132786016 is about 11523.2814770793. The cubic root of 132786016 is about 510.1729722135.

The spelling of 132786016 in words is "one hundred thirty-two million, seven hundred eighty-six thousand, sixteen".