144117456 has 80 divisors (see below), whose sum is σ = 427056000. Its totient is φ = 41025024.

The previous prime is 144117439. The next prime is 144117461. The reversal of 144117456 is 654711441.

144117456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144117456² = 41539682247823872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116650 + ... + 117878.

It is an arithmetic number, because the mean of its divisors is an integer number (5338200).

Almost surely, 2^144117456 is an apocalyptic number.

144117456 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 144117456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213528000).

144117456 is an abundant number, since it is smaller than the sum of its proper divisors (282938544).

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

144117456 is a wasteful number, since it uses less digits than its factorization.

144117456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1590 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 144117456 is about 12004.8930024386. The cubic root of 144117456 is about 524.2907502056.

Adding to 144117456 its reverse (654711441), we get a palindrome (798828897).

The spelling of 144117456 in words is "one hundred forty-four million, one hundred seventeen thousand, four hundred fifty-six".