132515645263936 has 189 divisors, whose sum is σ = 290739723081367. Its totient is φ = 59882130964480.

The previous prime is 132515645263933. The next prime is 132515645263979. The reversal of 132515645263936 is 639362546515231.

The square root of 132515645263936 is 11511544.

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

It can be written as a sum of positive squares in 4 ways, for example, as 93710918593600 + 38804726670336 = 9680440^2 + 6229344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132515645263933) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 260345078850 + ... + 260345079358.

Almost surely, 2^{132515645263936} is an apocalyptic number.

132515645263936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132515645263936 is the 11511544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132515645263936

132515645263936 is an abundant number, since it is smaller than the sum of its proper divisors (158224077817431).

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

132515645263936 is an frugal number, since it uses more digits than its factorization.

132515645263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 779 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 61.

The spelling of 132515645263936 in words is "one hundred thirty-two trillion, five hundred fifteen billion, six hundred forty-five million, two hundred sixty-three thousand, nine hundred thirty-six".