132084288 has 336 divisors, whose sum is σ = 479291904. Its totient is φ = 33914880.

The previous prime is 132084259. The next prime is 132084301. The reversal of 132084288 is 882480231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2810281 + ... + 2810327.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^132084288 is an apocalyptic number.

132084288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132084288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

132084288 is an abundant number, since it is smaller than the sum of its proper divisors (347207616).

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

132084288 is a wasteful number, since it uses less digits than its factorization.

132084288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 132084288 is about 11492.7928720568. The cubic root of 132084288 is about 509.2726887644.

The spelling of 132084288 in words is "one hundred thirty-two million, eighty-four thousand, two hundred eighty-eight".