132876288 has 168 divisors, whose sum is σ = 402825150. Its totient is φ = 43794432.

The previous prime is 132876281. The next prime is 132876299. The reversal of 132876288 is 882678231.

132876288 is a `hidden beast` number, since 13 + 2 + 8 + 7 + 628 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 6718464 = 11232^2 + 2592^2 .

It is a super-2 number, since 2×132876288² = 35312215825317888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132876281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492948 + ... + 1493036.

Almost surely, 2^132876288 is an apocalyptic number.

132876288 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 132876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201412575).

132876288 is an abundant number, since it is smaller than the sum of its proper divisors (269948862).

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

132876288 is an frugal number, since it uses more digits than its factorization.

132876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 132876288 is about 11527.1977514052. The cubic root of 132876288 is about 510.2885564281.

The spelling of 132876288 in words is "one hundred thirty-two million, eight hundred seventy-six thousand, two hundred eighty-eight".