144896000 has 104 divisors (see below), whose sum is σ = 362894064. Its totient is φ = 57753600.

The previous prime is 144895987. The next prime is 144896023. The reversal of 144896000 is 698441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511859 + ... + 512141.

It is an arithmetic number, because the mean of its divisors is an integer number (3489366).

Almost surely, 2^144896000 is an apocalyptic number.

144896000 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 144896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181447032).

144896000 is an abundant number, since it is smaller than the sum of its proper divisors (217998064).

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

144896000 is an frugal number, since it uses more digits than its factorization.

144896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 144896000 is about 12037.2754392346. The cubic root of 144896000 is about 525.2331541877.

The spelling of 144896000 in words is "one hundred forty-four million, eight hundred ninety-six thousand".