144074112 has 384 divisors, whose sum is σ = 520934400. Its totient is φ = 34836480.

The previous prime is 144074111. The next prime is 144074137. The reversal of 144074112 is 211470441.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144074111) 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, 4647537 + ... + 4647567.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 2^144074112 is an apocalyptic number.

144074112 is a gapful number since it is divisible by the number (12) 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 144074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

144074112 is an abundant number, since it is smaller than the sum of its proper divisors (376860288).

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

144074112 is a wasteful number, since it uses less digits than its factorization.

144074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 144074112 is about 12003.0876027795. The cubic root of 144074112 is about 524.2381839690.

It can be divided in two parts, 1440741 and 12, that added together give a triangular number (1440753 = T₁₆₉₇).

The spelling of 144074112 in words is "one hundred forty-four million, seventy-four thousand, one hundred twelve".