132049125 has 48 divisors (see below), whose sum is σ = 256379760. Its totient is φ = 65001600.

The previous prime is 132049121. The next prime is 132049133. The reversal of 132049125 is 521940231.

It can be written as a sum of positive squares in 8 ways, for example, as 22867524 + 109181601 = 4782^2 + 10449^2 .

It is not a de Polignac number, because 132049125 - 2² = 132049121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132049121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10111 + ... + 19139.

It is an arithmetic number, because the mean of its divisors is an integer number (5341245).

Almost surely, 2^132049125 is an apocalyptic number.

132049125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132049125 is a deficient number, since it is larger than the sum of its proper divisors (124330635).

132049125 is a wasteful number, since it uses less digits than its factorization.

132049125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 132049125 is about 11491.2629854164. The cubic root of 132049125 is about 509.2274925109.

Adding to 132049125 its reverse (521940231), we get a palindrome (653989356).

The spelling of 132049125 in words is "one hundred thirty-two million, forty-nine thousand, one hundred twenty-five".