144415100 has 36 divisors (see below), whose sum is σ = 315063168. Its totient is φ = 57456000.

The previous prime is 144415093. The next prime is 144415151. The reversal of 144415100 is 1514441.

It is a super-2 number, since 2×144415100² = 41711442216020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15320 + ... + 22880.

Almost surely, 2^144415100 is an apocalyptic number.

144415100 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 144415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157531584).

144415100 is an abundant number, since it is smaller than the sum of its proper divisors (170648068).

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

144415100 is a wasteful number, since it uses less digits than its factorization.

144415100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 144415100 is about 12017.2833868558. The cubic root of 144415100 is about 524.6514390787.

Adding to 144415100 its reverse (1514441), we get a palindrome (145929541).

The spelling of 144415100 in words is "one hundred forty-four million, four hundred fifteen thousand, one hundred".