144684900 has 144 divisors (see below), whose sum is σ = 476844480. Its totient is φ = 37612800.

The previous prime is 144684899. The next prime is 144684901. The reversal of 144684900 is 9486441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144684899) and next prime (144684901).

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

It is not an unprimeable number, because it can be changed into a prime (144684901) 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, 110047 + ... + 111353.

It is an arithmetic number, because the mean of its divisors is an integer number (3311420).

Almost surely, 2^144684900 is an apocalyptic number.

144684900 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 144684900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238422240).

144684900 is an abundant number, since it is smaller than the sum of its proper divisors (332159580).

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

144684900 is a wasteful number, since it uses less digits than its factorization.

144684900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1358 counting only the distinct ones).

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

The square root of 144684900 is about 12028.5036475864. The cubic root of 144684900 is about 524.9779582583.

The spelling of 144684900 in words is "one hundred forty-four million, six hundred eighty-four thousand, nine hundred".