132576 has 24 divisors (see below), whose sum is σ = 348264. Its totient is φ = 44160.

The previous prime is 132547. The next prime is 132589. The reversal of 132576 is 675231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 595 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (14511).

2¹³²⁵⁷⁶ is an apocalyptic number.

132576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132576 is an abundant number, since it is smaller than the sum of its proper divisors (215688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132576 is a wasteful number, since it uses less digits than its factorization.

132576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1386 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 132576 is about 364.1098735272. The cubic root of 132576 is about 50.9903865002.

The spelling of 132576 in words is "one hundred thirty-two thousand, five hundred seventy-six".