132307820 has 48 divisors (see below), whose sum is σ = 290763648. Its totient is φ = 50519040.

The previous prime is 132307817. The next prime is 132307823. The reversal of 132307820 is 28703231.

It is an interprime number because it is at equal distance from previous prime (132307817) and next prime (132307823).

It is a self number, because there is not a number n which added to its sum of digits gives 132307820.

It is not an unprimeable number, because it can be changed into a prime (132307823) by changing a digit.

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, 36824 + ... + 40256.

It is an arithmetic number, because the mean of its divisors is an integer number (6057576).

Almost surely, 2^132307820 is an apocalyptic number.

132307820 is a gapful number since it is divisible by the number (10) 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 132307820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145381824).

132307820 is an abundant number, since it is smaller than the sum of its proper divisors (158455828).

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

132307820 is a wasteful number, since it uses less digits than its factorization.

132307820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 132307820 is about 11502.5136383314. The cubic root of 132307820 is about 509.5598149790.

The spelling of 132307820 in words is "one hundred thirty-two million, three hundred seven thousand, eight hundred twenty".