144133920 has 288 divisors, whose sum is σ = 572382720. Its totient is φ = 32348160.

The previous prime is 144133919. The next prime is 144133931. The reversal of 144133920 is 29331441.

It is a tau number, because it is divible by the number of its divisors (288).

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, 796230 + ... + 796410.

It is an arithmetic number, because the mean of its divisors is an integer number (1987440).

Almost surely, 2^144133920 is an apocalyptic number.

144133920 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 144133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286191360).

144133920 is an abundant number, since it is smaller than the sum of its proper divisors (428248800).

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

144133920 is a wasteful number, since it uses less digits than its factorization.

144133920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 144133920 is about 12005.5787032529. The cubic root of 144133920 is about 524.3107144636.

The spelling of 144133920 in words is "one hundred forty-four million, one hundred thirty-three thousand, nine hundred twenty".