144122100 has 72 divisors (see below), whose sum is σ = 430472448. Its totient is φ = 37190400.

The previous prime is 144122063. The next prime is 144122123. The reversal of 144122100 is 1221441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 144122100.

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, 1552 + ... + 17048.

It is an arithmetic number, because the mean of its divisors is an integer number (5978784).

Almost surely, 2^144122100 is an apocalyptic number.

144122100 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 144122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215236224).

144122100 is an abundant number, since it is smaller than the sum of its proper divisors (286350348).

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

144122100 is a wasteful number, since it uses less digits than its factorization.

144122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15545 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 144122100 is about 12005.0864220130. The cubic root of 144122100 is about 524.2963816772.

Adding to 144122100 its reverse (1221441), we get a palindrome (145343541).

The spelling of 144122100 in words is "one hundred forty-four million, one hundred twenty-two thousand, one hundred".