132414343120 has 20 divisors (see below), whose sum is σ = 307863347940. Its totient is φ = 52965737216.

The previous prime is 132414343111. The next prime is 132414343123. The reversal of 132414343120 is 21343414231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90620265024 + 41794078096 = 301032^2 + 204436^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132414343123) 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 3 ways as a sum of consecutive naturals, for example, 827589565 + ... + 827589724.

It is an arithmetic number, because the mean of its divisors is an integer number (15393167397).

Almost surely, 2^132414343120 is an apocalyptic number.

132414343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132414343120 is an abundant number, since it is smaller than the sum of its proper divisors (175449004820).

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

132414343120 is a wasteful number, since it uses less digits than its factorization.

132414343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655179302 (or 1655179296 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132414343120 its reverse (21343414231), we get a palindrome (153757757351).

The spelling of 132414343120 in words is "one hundred thirty-two billion, four hundred fourteen million, three hundred forty-three thousand, one hundred twenty".