144458496 has 324 divisors, whose sum is σ = 525169008. Its totient is φ = 37380096.

The previous prime is 144458477. The next prime is 144458497. The reversal of 144458496 is 694854441.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (552960) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144458497) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2725606 + ... + 2725658.

It is an arithmetic number, because the mean of its divisors is an integer number (1620892).

Almost surely, 2^144458496 is an apocalyptic number.

144458496 is a gapful number since it is divisible by the number (16) 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 144458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262584504).

144458496 is an abundant number, since it is smaller than the sum of its proper divisors (380710512).

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

144458496 is a wasteful number, since it uses less digits than its factorization.

144458496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 144458496 is about 12019.0888173771. The cubic root of 144458496 is about 524.7039855084.

The spelling of 144458496 in words is "one hundred forty-four million, four hundred fifty-eight thousand, four hundred ninety-six".