144518100 has 72 divisors (see below), whose sum is σ = 423931200. Its totient is φ = 38004480.

The previous prime is 144518093. The next prime is 144518117. The reversal of 144518100 is 1815441.

144518100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144518100² = 41770962455220000, 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 23 ways as a sum of consecutive naturals, for example, 18601 + ... + 25199.

Almost surely, 2^144518100 is an apocalyptic number.

144518100 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 144518100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211965600).

144518100 is an abundant number, since it is smaller than the sum of its proper divisors (279413100).

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

144518100 is a wasteful number, since it uses less digits than its factorization.

144518100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6689 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 144518100 is about 12021.5681173464. The cubic root of 144518100 is about 524.7761403877.

The spelling of 144518100 in words is "one hundred forty-four million, five hundred eighteen thousand, one hundred".