144342000 has 360 divisors, whose sum is σ = 571092912. Its totient is φ = 34992000.

The previous prime is 144341999. The next prime is 144342001. The reversal of 144342000 is 243441.

It is an interprime number because it is at equal distance from previous prime (144341999) and next prime (144342001).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×144342000² = 41669225928000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144342001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13121995 + ... + 13122005.

Almost surely, 2^144342000 is an apocalyptic number.

144342000 is a gapful number since it is divisible by the number (10) 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 144342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285546456).

144342000 is an abundant number, since it is smaller than the sum of its proper divisors (426750912).

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

144342000 is an frugal number, since it uses more digits than its factorization.

144342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144342000 is about 12014.2415490950. The cubic root of 144342000 is about 524.5629014926.

Adding to 144342000 its reverse (243441), we get a palindrome (144585441).

The spelling of 144342000 in words is "one hundred forty-four million, three hundred forty-two thousand".