132124253121 has 81 divisors (see below), whose sum is σ = 234561603393. Its totient is φ = 71447397840.

The previous prime is 132124253081. The next prime is 132124253123. The reversal of 132124253121 is 121352421231.

It is a happy number.

The square root of 132124253121 is 363489.

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

132124253121 is a `hidden beast` number, since 1 + 3 + 2 + 124 + 2 + 531 + 2 + 1 = 666.

It is not a de Polignac number, because 132124253121 - 2²⁹ = 131587382209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132124253123) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 145031656 + ... + 145032566.

Almost surely, 2^132124253121 is an apocalyptic number.

132124253121 is the 363489-th square number.

132124253121 is the 181745-th centered octagonal number.

It is an amenable number.

132124253121 is a deficient number, since it is larger than the sum of its proper divisors (102437350272).

132124253121 is an frugal number, since it uses more digits than its factorization.

132124253121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 940 counting only the distinct ones).

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

Adding to 132124253121 its reverse (121352421231), we get a palindrome (253476674352).

The spelling of 132124253121 in words is "one hundred thirty-two billion, one hundred twenty-four million, two hundred fifty-three thousand, one hundred twenty-one".