132410340 has 72 divisors (see below), whose sum is σ = 404422200. Its totient is φ = 35065344.

The previous prime is 132410231. The next prime is 132410347. The reversal of 132410340 is 43014231.

132410340 is a `hidden beast` number, since 1 + 324 + 1 + 0 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 131744484 = 816^2 + 11478^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132410347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24352 + ... + 29288.

It is an arithmetic number, because the mean of its divisors is an integer number (5616975).

Almost surely, 2^132410340 is an apocalyptic number.

132410340 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 132410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202211100).

132410340 is an abundant number, since it is smaller than the sum of its proper divisors (272011860).

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

132410340 is a wasteful number, since it uses less digits than its factorization.

132410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132410340 is about 11506.9691926241. The cubic root of 132410340 is about 509.6913934580.

Adding to 132410340 its reverse (43014231), we get a palindrome (175424571).

It can be divided in two parts, 1324 and 10340, that added together give a square (11664 = 108²).

The spelling of 132410340 in words is "one hundred thirty-two million, four hundred ten thousand, three hundred forty".