144085200 has 240 divisors, whose sum is σ = 559071360. Its totient is φ = 30965760.

The previous prime is 144085159. The next prime is 144085259. The reversal of 144085200 is 2580441.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142296 + ... + 143304.

It is an arithmetic number, because the mean of its divisors is an integer number (2329464).

Almost surely, 2^144085200 is an apocalyptic number.

144085200 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 144085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279535680).

144085200 is an abundant number, since it is smaller than the sum of its proper divisors (414986160).

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

144085200 is a wasteful number, since it uses less digits than its factorization.

144085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 144085200 is about 12003.5494750511. The cubic root of 144085200 is about 524.2516321492.

The spelling of 144085200 in words is "one hundred forty-four million, eighty-five thousand, two hundred".