132577431 has 16 divisors (see below), whose sum is σ = 202349568. Its totient is φ = 75636000.

The previous prime is 132577429. The next prime is 132577453. The reversal of 132577431 is 134775231.

It is not a de Polignac number, because 132577431 - 2¹ = 132577429 is a prime.

It is a super-2 number, since 2×132577431² = 35153550421119522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132577392 and 132577401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132577411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9106 + ... + 18656.

It is an arithmetic number, because the mean of its divisors is an integer number (12646848).

Almost surely, 2^132577431 is an apocalyptic number.

132577431 is a deficient number, since it is larger than the sum of its proper divisors (69772137).

132577431 is an equidigital number, since it uses as much as digits as its factorization.

132577431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10222.

The product of its digits is 17640, while the sum is 33.

The square root of 132577431 is about 11514.2273296995. The cubic root of 132577431 is about 509.9056995966.

The spelling of 132577431 in words is "one hundred thirty-two million, five hundred seventy-seven thousand, four hundred thirty-one".