142464 has 64 divisors (see below), whose sum is σ = 440640. Its totient is φ = 39936.

The previous prime is 142453. The next prime is 142469. The reversal of 142464 is 464241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 142464.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142464.

It is not an unprimeable number, because it can be changed into a prime (142469) by changing a digit.

142464 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2662 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2¹⁴²⁴⁶⁴ is an apocalyptic number.

142464 is a gapful number since it is divisible by the number (14) 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 142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320).

142464 is an abundant number, since it is smaller than the sum of its proper divisors (298176).

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

142464 is an equidigital number, since it uses as much as digits as its factorization.

142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 142464 is about 377.4440355867. Note that the first 3 decimals coincide. The cubic root of 142464 is about 52.2277974699.

It can be divided in two parts, 142 and 464, that added together give a palindrome (606).

The spelling of 142464 in words is "one hundred forty-two thousand, four hundred sixty-four".