132305376 has 192 divisors, whose sum is σ = 418037760. Its totient is φ = 35857920.

The previous prime is 132305357. The next prime is 132305431. The reversal of 132305376 is 673503231.

132305376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863421 + ... + 1863491.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^132305376 is an apocalyptic number.

132305376 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 132305376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

132305376 is an abundant number, since it is smaller than the sum of its proper divisors (285732384).

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

132305376 is a wasteful number, since it uses less digits than its factorization.

132305376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 132305376 is about 11502.4074001924. The cubic root of 132305376 is about 509.5566774173.

The spelling of 132305376 in words is "one hundred thirty-two million, three hundred five thousand, three hundred seventy-six".