132536844 has 96 divisors (see below), whose sum is σ = 387878400. Its totient is φ = 38767680.

The previous prime is 132536843. The next prime is 132536863. The reversal of 132536844 is 448635231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132536799 and 132536808.

It is not an unprimeable number, because it can be changed into a prime (132536843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32529 + ... + 36375.

It is an arithmetic number, because the mean of its divisors is an integer number (4040400).

Almost surely, 2^132536844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132536844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193939200).

132536844 is an abundant number, since it is smaller than the sum of its proper divisors (255341556).

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

132536844 is a wasteful number, since it uses less digits than its factorization.

132536844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3892 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 132536844 is about 11512.4647230730. The cubic root of 132536844 is about 509.8536604354.

The spelling of 132536844 in words is "one hundred thirty-two million, five hundred thirty-six thousand, eight hundred forty-four".