142752 has 24 divisors (see below), whose sum is σ = 374976. Its totient is φ = 47552.

The previous prime is 142733. The next prime is 142757. The reversal of 142752 is 257241.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (142757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 648 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2¹⁴²⁷⁵² is an apocalyptic number.

142752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142752 is an abundant number, since it is smaller than the sum of its proper divisors (232224).

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

142752 is a wasteful number, since it uses less digits than its factorization.

142752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1492 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 142752 is about 377.8253564810. The cubic root of 142752 is about 52.2629677145.

Adding to 142752 its reverse (257241), we get a palindrome (399993).

The spelling of 142752 in words is "one hundred forty-two thousand, seven hundred fifty-two".