132849288 has 384 divisors, whose sum is σ = 482630400. Its totient is φ = 33454080.

The previous prime is 132849263. The next prime is 132849289. The reversal of 132849288 is 882948231.

132849288 is a `hidden beast` number, since 1 + 328 + 49 + 288 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132849289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5776045 + ... + 5776067.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^132849288 is an apocalyptic number.

132849288 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 132849288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

132849288 is an abundant number, since it is smaller than the sum of its proper divisors (349781112).

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

132849288 is a wasteful number, since it uses less digits than its factorization.

132849288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 132849288 is about 11526.0265486420. The cubic root of 132849288 is about 510.2539911329.

The spelling of 132849288 in words is "one hundred thirty-two million, eight hundred forty-nine thousand, two hundred eighty-eight".