132112368 has 120 divisors (see below), whose sum is σ = 390323232. Its totient is φ = 41631744.

The previous prime is 132112367. The next prime is 132112369. The reversal of 132112368 is 863211231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132112367) and next prime (132112369).

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 (132112363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374080 + ... + 374432.

Almost surely, 2^132112368 is an apocalyptic number.

132112368 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 132112368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195161616).

132112368 is an abundant number, since it is smaller than the sum of its proper divisors (258210864).

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

132112368 is a wasteful number, since it uses less digits than its factorization.

132112368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 132112368 is about 11494.0144423087. The cubic root of 132112368 is about 509.3087752262.

Adding to 132112368 its reverse (863211231), we get a palindrome (995323599).

It can be divided in two parts, 1321 and 12368, that added together give a square (13689 = 117²).

The spelling of 132112368 in words is "one hundred thirty-two million, one hundred twelve thousand, three hundred sixty-eight".