144968400 has 240 divisors, whose sum is σ = 533854720. Its totient is φ = 37324800.

The previous prime is 144968387. The next prime is 144968407. The reversal of 144968400 is 4869441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144968407) 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, 334584 + ... + 335016.

Almost surely, 2^144968400 is an apocalyptic number.

144968400 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 144968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266927360).

144968400 is an abundant number, since it is smaller than the sum of its proper divisors (388886320).

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

144968400 is a wasteful number, since it uses less digits than its factorization.

144968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144968400 is about 12040.2823887150. The cubic root of 144968400 is about 525.3206204819.

The spelling of 144968400 in words is "one hundred forty-four million, nine hundred sixty-eight thousand, four hundred".