132542784 has 224 divisors, whose sum is σ = 448665600. Its totient is φ = 37946880.

The previous prime is 132542779. The next prime is 132542807. The reversal of 132542784 is 487245231.

132542784 = T₂₂₇ + T₂₂₈ + ... + T₉₃₀.

It is a happy number.

132542784 is a `hidden beast` number, since 1 + 32 + 542 + 7 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360969 + ... + 361335.

Almost surely, 2^132542784 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 132542784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224332800).

132542784 is an abundant number, since it is smaller than the sum of its proper divisors (316122816).

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

132542784 is a wasteful number, since it uses less digits than its factorization.

132542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 132542784 is about 11512.7227014291. The cubic root of 132542784 is about 509.8612771489.

The spelling of 132542784 in words is "one hundred thirty-two million, five hundred forty-two thousand, seven hundred eighty-four".