132268032 has 240 divisors, whose sum is σ = 440388480. Its totient is φ = 38928384.

The previous prime is 132268013. The next prime is 132268039. The reversal of 132268032 is 230862231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132267987 and 132268005.

It is not an unprimeable number, because it can be changed into a prime (132268039) 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, 5750773 + ... + 5750795.

It is an arithmetic number, because the mean of its divisors is an integer number (1834952).

Almost surely, 2^132268032 is an apocalyptic number.

132268032 is a gapful number since it is divisible by the number (12) 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 132268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220194240).

132268032 is an abundant number, since it is smaller than the sum of its proper divisors (308120448).

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

132268032 is an equidigital number, since it uses as much as digits as its factorization.

132268032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132268032 is about 11500.7839732776. The cubic root of 132268032 is about 509.5087310784.

The spelling of 132268032 in words is "one hundred thirty-two million, two hundred sixty-eight thousand, thirty-two".