144212640 has 288 divisors, whose sum is σ = 540546048. Its totient is φ = 32102400.

The previous prime is 144212611. The next prime is 144212647. The reversal of 144212640 is 46212441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144212640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144212647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754945 + ... + 755135.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 2^144212640 is an apocalyptic number.

144212640 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 144212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

144212640 is an abundant number, since it is smaller than the sum of its proper divisors (396333408).

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

144212640 is a wasteful number, since it uses less digits than its factorization.

144212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 144212640 is about 12008.8567315961. The cubic root of 144212640 is about 524.4061493844.

The spelling of 144212640 in words is "one hundred forty-four million, two hundred twelve thousand, six hundred forty".