144693120 has 512 divisors, whose sum is σ = 592220160. Its totient is φ = 29491200.

The previous prime is 144693097. The next prime is 144693121. The reversal of 144693120 is 21396441.

144693120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144693121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4667505 + ... + 4667535.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^144693120 is an apocalyptic number.

144693120 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 144693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

144693120 is an abundant number, since it is smaller than the sum of its proper divisors (447527040).

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

144693120 is a wasteful number, since it uses less digits than its factorization.

144693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 144693120 is about 12028.8453311197. The cubic root of 144693120 is about 524.9878999479.

The spelling of 144693120 in words is "one hundred forty-four million, six hundred ninety-three thousand, one hundred twenty".