144231840 has 240 divisors, whose sum is σ = 526901760. Its totient is φ = 37117440.

The previous prime is 144231833. The next prime is 144231863. The reversal of 144231840 is 48132441.

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401581 + ... + 401939.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^144231840 is an apocalyptic number.

144231840 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 144231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

144231840 is an abundant number, since it is smaller than the sum of its proper divisors (382669920).

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

144231840 is a wasteful number, since it uses less digits than its factorization.

144231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 144231840 is about 12009.6561149768. The cubic root of 144231840 is about 524.4294209258.

The spelling of 144231840 in words is "one hundred forty-four million, two hundred thirty-one thousand, eight hundred forty".