132142752 has 120 divisors (see below), whose sum is σ = 444207456. Its totient is φ = 37749888.

The previous prime is 132142697. The next prime is 132142781. The reversal of 132142752 is 257241231.

It is a super-2 number, since 2×132142752² = 34923413812267008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14503 + ... + 21785.

Almost surely, 2^132142752 is an apocalyptic number.

132142752 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 132142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222103728).

132142752 is an abundant number, since it is smaller than the sum of its proper divisors (312064704).

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

132142752 is an equidigital number, since it uses as much as digits as its factorization.

132142752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312 (or 7295 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 132142752 is about 11495.3360977398. The cubic root of 132142752 is about 509.3478168690.

Adding to 132142752 its reverse (257241231), we get a palindrome (389383983).

It can be divided in two parts, 132 and 142752, that added together give a square (142884 = 378²).

The spelling of 132142752 in words is "one hundred thirty-two million, one hundred forty-two thousand, seven hundred fifty-two".