132240400 has 60 divisors (see below), whose sum is σ = 319148100. Its totient is φ = 52656640.

The previous prime is 132240347. The next prime is 132240403. The reversal of 132240400 is 4042231.

It can be written as a sum of positive squares in 6 ways, for example, as 633616 + 131606784 = 796^2 + 11472^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (132240403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106986 + ... + 108214.

It is an arithmetic number, because the mean of its divisors is an integer number (5319135).

Almost surely, 2^132240400 is an apocalyptic number.

132240400 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 132240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159574050).

132240400 is an abundant number, since it is smaller than the sum of its proper divisors (186907700).

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

132240400 is a wasteful number, since it uses less digits than its factorization.

132240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 132240400 is about 11499.5826011208. The cubic root of 132240400 is about 509.4732482648.

Adding to 132240400 its reverse (4042231), we get a palindrome (136282631).

The spelling of 132240400 in words is "one hundred thirty-two million, two hundred forty thousand, four hundred".