142632 has 48 divisors (see below), whose sum is σ = 443040. Its totient is φ = 40608.

The previous prime is 142619. The next prime is 142657. The reversal of 142632 is 236241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

142632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 363 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (9230).

2¹⁴²⁶³² is an apocalyptic number.

142632 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 142632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221520).

142632 is an abundant number, since it is smaller than the sum of its proper divisors (300408).

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

142632 is a wasteful number, since it uses less digits than its factorization.

142632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 142632 is about 377.6665195645. Note that the first 3 decimals coincide. The cubic root of 142632 is about 52.2483191999.

Adding to 142632 its reverse (236241), we get a palindrome (378873).

The spelling of 142632 in words is "one hundred forty-two thousand, six hundred thirty-two".