144380100 has 72 divisors (see below), whose sum is σ = 421535520. Its totient is φ = 38151680.

The previous prime is 144380059. The next prime is 144380123. The reversal of 144380100 is 1083441.

It is a super-2 number, since 2×144380100² = 41691226552020000, which contains 22 as substring.

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, 31771 + ... + 36029.

It is an arithmetic number, because the mean of its divisors is an integer number (5854660).

Almost surely, 2^144380100 is an apocalyptic number.

144380100 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 144380100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210767760).

144380100 is an abundant number, since it is smaller than the sum of its proper divisors (277155420).

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

144380100 is a wasteful number, since it uses less digits than its factorization.

144380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 144380100 is about 12015.8270626703. The cubic root of 144380100 is about 524.6090513505.

The spelling of 144380100 in words is "one hundred forty-four million, three hundred eighty thousand, one hundred".