144929340 has 144 divisors (see below), whose sum is σ = 478033920. Its totient is φ = 35406720.

The previous prime is 144929339. The next prime is 144929363. The reversal of 144929340 is 43929441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144929295 and 144929304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105337 + ... + 106703.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^144929340 is an apocalyptic number.

144929340 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 144929340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

144929340 is an abundant number, since it is smaller than the sum of its proper divisors (333104580).

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

144929340 is a wasteful number, since it uses less digits than its factorization.

144929340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 144929340 is about 12038.6602244602. The cubic root of 144929340 is about 525.2734357930.

It can be divided in two parts, 14492 and 9340, that added together give a palindrome (23832).

The spelling of 144929340 in words is "one hundred forty-four million, nine hundred twenty-nine thousand, three hundred forty".