132003312 has 80 divisors (see below), whose sum is σ = 394736640. Its totient is φ = 37230336.

The previous prime is 132003281. The next prime is 132003359. The reversal of 132003312 is 213300231.

It is a junction number, because it is equal to n+sod(n) for n = 132003291 and 132003300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24058 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (4934208).

Almost surely, 2^132003312 is an apocalyptic number.

132003312 is a gapful number since it is divisible by the number (12) 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 132003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197368320).

132003312 is an abundant number, since it is smaller than the sum of its proper divisors (262733328).

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

132003312 is a wasteful number, since it uses less digits than its factorization.

132003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132003312 is about 11489.2694284711. The cubic root of 132003312 is about 509.1685953957.

Adding to 132003312 its reverse (213300231), we get a palindrome (345303543).

The spelling of 132003312 in words is "one hundred thirty-two million, three thousand, three hundred twelve".