144984000 has 224 divisors, whose sum is σ = 547762176. Its totient is φ = 33100800.

The previous prime is 144983999. The next prime is 144984001. The reversal of 144984000 is 489441.

It is an interprime number because it is at equal distance from previous prime (144983999) and next prime (144984001).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144984001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167569 + ... + 168431.

Almost surely, 2^144984000 is an apocalyptic number.

144984000 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 144984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273881088).

144984000 is an abundant number, since it is smaller than the sum of its proper divisors (402778176).

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

144984000 is an equidigital number, since it uses as much as digits as its factorization.

144984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 144984000 is about 12040.9301966252. The cubic root of 144984000 is about 525.3394629969.

The spelling of 144984000 in words is "one hundred forty-four million, nine hundred eighty-four thousand".