144125000 has 56 divisors (see below), whose sum is σ = 338081610. Its totient is φ = 57600000.

The previous prime is 144124991. The next prime is 144125011. The reversal of 144125000 is 521441.

It can be written as a sum of positive squares in 7 ways, for example, as 54671236 + 89453764 = 7394^2 + 9458^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 144125000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124424 + ... + 125576.

Almost surely, 2^144125000 is an apocalyptic number.

144125000 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 144125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169040805).

144125000 is an abundant number, since it is smaller than the sum of its proper divisors (193956610).

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

144125000 is an frugal number, since it uses more digits than its factorization.

144125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 144125000 is about 12005.2072035430. The cubic root of 144125000 is about 524.2998982540.

Adding to 144125000 its reverse (521441), we get a palindrome (144646441).

The spelling of 144125000 in words is "one hundred forty-four million, one hundred twenty-five thousand".