144142848 has 80 divisors (see below), whose sum is σ = 426713760. Its totient is φ = 48043008.

The previous prime is 144142781. The next prime is 144142849. The reversal of 144142848 is 848241441.

It is a super-2 number, since 2×144142848² = 41554321259102208, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (144142849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8611 + ... + 19037.

It is an arithmetic number, because the mean of its divisors is an integer number (5333922).

Almost surely, 2^144142848 is an apocalyptic number.

144142848 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 144142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213356880).

144142848 is an abundant number, since it is smaller than the sum of its proper divisors (282570912).

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

144142848 is an equidigital number, since it uses as much as digits as its factorization.

144142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 10432 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 144142848 is about 12005.9505246357. The cubic root of 144142848 is about 524.3215399269.

The spelling of 144142848 in words is "one hundred forty-four million, one hundred forty-two thousand, eight hundred forty-eight".