132363288 has 64 divisors (see below), whose sum is σ = 376252800. Its totient is φ = 43092000.

The previous prime is 132363281. The next prime is 132363299. The reversal of 132363288 is 882363231.

132363288 is a `hidden beast` number, since 1 + 323 + 6 + 328 + 8 = 666.

It is a super-3 number, since 3×132363288³ (a number of 25 digits) contains 333 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132363281) 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, 2163 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (5878950).

Almost surely, 2^132363288 is an apocalyptic number.

132363288 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 132363288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188126400).

132363288 is an abundant number, since it is smaller than the sum of its proper divisors (243889512).

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

132363288 is a wasteful number, since it uses less digits than its factorization.

132363288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309 (or 14299 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 132363288 is about 11504.9245108345. The cubic root of 132363288 is about 509.6310133782.

It can be divided in two parts, 132363 and 288, that added together give a cube (132651 = 51³).

The spelling of 132363288 in words is "one hundred thirty-two million, three hundred sixty-three thousand, two hundred eighty-eight".