132188544 has 128 divisors (see below), whose sum is σ = 407347200. Its totient is φ = 42121728.

The previous prime is 132188543. The next prime is 132188561. The reversal of 132188544 is 445881231.

132188544 is a `hidden beast` number, since 1 + 32 + 1 + 88 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×132188544² = 34947622329679872, which contains 22 as substring.

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 = 132188499 and 132188508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132188543) 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, 78657 + ... + 80319.

It is an arithmetic number, because the mean of its divisors is an integer number (3182400).

Almost surely, 2^132188544 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 132188544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203673600).

132188544 is an abundant number, since it is smaller than the sum of its proper divisors (275158656).

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

132188544 is a wasteful number, since it uses less digits than its factorization.

132188544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1691 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 132188544 is about 11497.3276895112. The cubic root of 132188544 is about 509.4066455756.

The spelling of 132188544 in words is "one hundred thirty-two million, one hundred eighty-eight thousand, five hundred forty-four".