132153260513641 has 24 divisors (see below), whose sum is σ = 137387588621400. Its totient is φ = 127111385802240.

The previous prime is 132153260513591. The next prime is 132153260513653. The reversal of 132153260513641 is 146315062351231.

It can be written as a sum of positive squares in 12 ways, for example, as 40223132993241 + 91930127520400 = 6342171^2 + 9588020^2 .

It is not a de Polignac number, because 132153260513641 - 2⁹ = 132153260513129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132153260510641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5221578895 + ... + 5221604203.

It is an arithmetic number, because the mean of its divisors is an integer number (5724482859225).

Almost surely, 2^{132153260513641} is an apocalyptic number.

It is an amenable number.

132153260513641 is a deficient number, since it is larger than the sum of its proper divisors (5234328107759).

132153260513641 is a wasteful number, since it uses less digits than its factorization.

132153260513641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48717 (or 48688 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 132153260513641 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, two hundred sixty million, five hundred thirteen thousand, six hundred forty-one".