132146577 has 36 divisors (see below), whose sum is σ = 204162660. Its totient is φ = 82342656.

The previous prime is 132146551. The next prime is 132146587. The reversal of 132146577 is 775641231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71166096 + 60980481 = 8436^2 + 7809^2 .

It is not a de Polignac number, because 132146577 - 2⁶ = 132146513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132146507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288933 + ... + 289389.

It is an arithmetic number, because the mean of its divisors is an integer number (5671185).

Almost surely, 2^132146577 is an apocalyptic number.

It is an amenable number.

132146577 is a deficient number, since it is larger than the sum of its proper divisors (72016083).

132146577 is a wasteful number, since it uses less digits than its factorization.

132146577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 568 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 132146577 is about 11495.5024683569. The cubic root of 132146577 is about 509.3527313436.

It can be divided in two parts, 13214 and 6577, that added together give a palindrome (19791).

The spelling of 132146577 in words is "one hundred thirty-two million, one hundred forty-six thousand, five hundred seventy-seven".