132504736144 has 45 divisors (see below), whose sum is σ = 282222660769. Its totient is φ = 60222145280.

The previous prime is 132504736123. The next prime is 132504736163. The reversal of 132504736144 is 441637405231.

The square root of 132504736144 is 364012.

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

It can be written as a sum of positive squares in only one way, i.e., 100780851600 + 31723884544 = 317460^2 + 178112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132504736097 and 132504736106.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16012392 + ... + 16020664.

Almost surely, 2^132504736144 is an apocalyptic number.

132504736144 is the 364012-nd square number.

It is an amenable number.

132504736144 is an abundant number, since it is smaller than the sum of its proper divisors (149717924625).

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

132504736144 is an frugal number, since it uses more digits than its factorization.

132504736144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16576 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 132504736144 in words is "one hundred thirty-two billion, five hundred four million, seven hundred thirty-six thousand, one hundred forty-four".