144042000 has 80 divisors (see below), whose sum is σ = 464410752. Its totient is φ = 38409600.

The previous prime is 144041941. The next prime is 144042001. The reversal of 144042000 is 240441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (144042001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6004 + ... + 18003.

Almost surely, 2^144042000 is an apocalyptic number.

144042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144042000 is an abundant number, since it is smaller than the sum of its proper divisors (320368752).

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

144042000 is a wasteful number, since it uses less digits than its factorization.

144042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24033 (or 24017 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 144042000 is about 12001.7498724144. The cubic root of 144042000 is about 524.1992327487.

Adding to 144042000 its reverse (240441), we get a palindrome (144282441).

The spelling of 144042000 in words is "one hundred forty-four million, forty-two thousand".