132029568 has 256 divisors, whose sum is σ = 446515200. Its totient is φ = 38016000.

The previous prime is 132029561. The next prime is 132029617. The reversal of 132029568 is 865920231.

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

It is not an unprimeable number, because it can be changed into a prime (132029561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874293 + ... + 874443.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 2^132029568 is an apocalyptic number.

132029568 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 132029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223257600).

132029568 is an abundant number, since it is smaller than the sum of its proper divisors (314485632).

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

132029568 is a wasteful number, since it uses less digits than its factorization.

132029568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132029568 is about 11490.4120030572. The cubic root of 132029568 is about 509.2023517315.

Adding to 132029568 its reverse (865920231), we get a palindrome (997949799).

The spelling of 132029568 in words is "one hundred thirty-two million, twenty-nine thousand, five hundred sixty-eight".