144224640 has 384 divisors, whose sum is σ = 588744000. Its totient is φ = 32514048.

The previous prime is 144224621. The next prime is 144224657. The reversal of 144224640 is 46422441.

It is a happy number.

144224640 is a `hidden beast` number, since 14 + 4 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975644 + ... + 1975716.

Almost surely, 2^144224640 is an apocalyptic number.

144224640 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 144224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294372000).

144224640 is an abundant number, since it is smaller than the sum of its proper divisors (444519360).

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

144224640 is an equidigital number, since it uses as much as digits as its factorization.

144224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 144224640 is about 12009.3563524445. The cubic root of 144224640 is about 524.4206943398.

The spelling of 144224640 in words is "one hundred forty-four million, two hundred twenty-four thousand, six hundred forty".