144984840 has 512 divisors, whose sum is σ = 627056640. Its totient is φ = 25804800.

The previous prime is 144984817. The next prime is 144984841. The reversal of 144984840 is 48489441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 144984792 and 144984801.

It is not an unprimeable number, because it can be changed into a prime (144984841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2042005 + ... + 2042075.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^144984840 is an apocalyptic number.

144984840 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 144984840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

144984840 is an abundant number, since it is smaller than the sum of its proper divisors (482071800).

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

144984840 is a wasteful number, since it uses less digits than its factorization.

144984840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 144984840 is about 12040.9650776007. The cubic root of 144984840 is about 525.3404775555.

The spelling of 144984840 in words is "one hundred forty-four million, nine hundred eighty-four thousand, eight hundred forty".