132405940 has 48 divisors (see below), whose sum is σ = 294190848. Its totient is φ = 49953024.

The previous prime is 132405937. The next prime is 132405941. The reversal of 132405940 is 49504231.

It is a junction number, because it is equal to n+sod(n) for n = 132405899 and 132405908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132405941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31609 + ... + 35551.

It is an arithmetic number, because the mean of its divisors is an integer number (6128976).

Almost surely, 2^132405940 is an apocalyptic number.

132405940 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 132405940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147095424).

132405940 is an abundant number, since it is smaller than the sum of its proper divisors (161784908).

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

132405940 is a wasteful number, since it uses less digits than its factorization.

132405940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 132405940 is about 11506.7780025514. The cubic root of 132405940 is about 509.6857477081.

The spelling of 132405940 in words is "one hundred thirty-two million, four hundred five thousand, nine hundred forty".