144122600 has 192 divisors, whose sum is σ = 393724800. Its totient is φ = 48660480.

The previous prime is 144122599. The next prime is 144122609. The reversal of 144122600 is 6221441.

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

It is not an unprimeable number, because it can be changed into a prime (144122609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1485752 + ... + 1485848.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 2^144122600 is an apocalyptic number.

144122600 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 144122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

144122600 is an abundant number, since it is smaller than the sum of its proper divisors (249602200).

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

144122600 is a wasteful number, since it uses less digits than its factorization.

144122600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 144122600 is about 12005.1072465014. The cubic root of 144122600 is about 524.2969879869.

The spelling of 144122600 in words is "one hundred forty-four million, one hundred twenty-two thousand, six hundred".