21342144132 has 36 divisors (see below), whose sum is σ = 54120584700. Its totient is φ = 7091315712.

The previous prime is 21342144121. The next prime is 21342144167. The reversal of 21342144132 is 23144124312.

21342144132 is a `hidden beast` number, since 2 + 1 + 34 + 214 + 413 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3646227456 + 17695916676 = 60384^2 + 133026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21342144096 and 21342144105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 935757 + ... + 958292.

It is an arithmetic number, because the mean of its divisors is an integer number (1503349575).

Almost surely, 2^21342144132 is an apocalyptic number.

It is an amenable number.

21342144132 is an abundant number, since it is smaller than the sum of its proper divisors (32778440568).

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

21342144132 is a wasteful number, since it uses less digits than its factorization.

21342144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894372 (or 1894367 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21342144132 its reverse (23144124312), we get a palindrome (44486268444).

The spelling of 21342144132 in words is "twenty-one billion, three hundred forty-two million, one hundred forty-four thousand, one hundred thirty-two".