144657216 has 252 divisors, whose sum is σ = 486582720. Its totient is φ = 40734720.

The previous prime is 144657209. The next prime is 144657229. The reversal of 144657216 is 612756441.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1831065 + ... + 1831143.

Almost surely, 2^144657216 is an apocalyptic number.

144657216 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 144657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243291360).

144657216 is an abundant number, since it is smaller than the sum of its proper divisors (341925504).

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

144657216 is a wasteful number, since it uses less digits than its factorization.

144657216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 144657216 is about 12027.3528259547. The cubic root of 144657216 is about 524.9444730389.

The spelling of 144657216 in words is "one hundred forty-four million, six hundred fifty-seven thousand, two hundred sixteen".