132531674401 has 27 divisors (see below), whose sum is σ = 155747657907. Its totient is φ = 112447455120.

The previous prime is 132531674369. The next prime is 132531674413. The reversal of 132531674401 is 104476135231.

It is a happy number.

The square root of 132531674401 is 364049.

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., 88818900625 + 43712773776 = 298025^2 + 209076^2 .

It is not a de Polignac number, because 132531674401 - 2⁵ = 132531674369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132531674441) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 333832735 + ... + 333833131.

Almost surely, 2^132531674401 is an apocalyptic number.

132531674401 is the 364049-th square number.

132531674401 is the 182025-th centered octagonal number.

It is an amenable number.

132531674401 is a deficient number, since it is larger than the sum of its proper divisors (23215983506).

132531674401 is an frugal number, since it uses more digits than its factorization.

132531674401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 132531674401 in words is "one hundred thirty-two billion, five hundred thirty-one million, six hundred seventy-four thousand, four hundred one".