132577953 has 16 divisors (see below), whose sum is σ = 187924800. Its totient is φ = 82900800.

The previous prime is 132577933. The next prime is 132577997. The reversal of 132577953 is 359775231.

It is not a de Polignac number, because 132577953 - 2¹³ = 132569761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132577933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5758 + ... + 17271.

It is an arithmetic number, because the mean of its divisors is an integer number (11745300).

Almost surely, 2^132577953 is an apocalyptic number.

It is an amenable number.

132577953 is a deficient number, since it is larger than the sum of its proper divisors (55346847).

132577953 is a wasteful number, since it uses less digits than its factorization.

132577953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23152.

The product of its digits is 198450, while the sum is 42.

The square root of 132577953 is about 11514.2499972860. The cubic root of 132577953 is about 509.9063688166.

The spelling of 132577953 in words is "one hundred thirty-two million, five hundred seventy-seven thousand, nine hundred fifty-three".