65132144100 has 243 divisors, whose sum is σ = 209747982171. Its totient is φ = 16905110400.

The previous prime is 65132144093. The next prime is 65132144111. The reversal of 65132144100 is 144123156.

It is a happy number.

The square root of 65132144100 is 255210.

It is a perfect power (a square), and thus also a powerful number.

65132144100 is a `hidden beast` number, since 6 + 513 + 2 + 1 + 44 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34956285156 + 30175858944 = 186966^2 + 173712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 359846010 + ... + 359846190.

Almost surely, 2^65132144100 is an apocalyptic number.

65132144100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

65132144100 is the 255210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65132144100

65132144100 is an abundant number, since it is smaller than the sum of its proper divisors (144615838071).

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

65132144100 is a wasteful number, since it uses less digits than its factorization.

65132144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 65132144100 its reverse (144123156), we get a palindrome (65276267256).

The spelling of 65132144100 in words is "sixty-five billion, one hundred thirty-two million, one hundred forty-four thousand, one hundred".