144050640 has 80 divisors (see below), whose sum is σ = 449518848. Its totient is φ = 38158848.

The previous prime is 144050573. The next prime is 144050651. The reversal of 144050640 is 46050441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144050640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35769 + ... + 39591.

Almost surely, 2^144050640 is an apocalyptic number.

144050640 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 144050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224759424).

144050640 is an abundant number, since it is smaller than the sum of its proper divisors (305468208).

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

144050640 is a wasteful number, since it uses less digits than its factorization.

144050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 144050640 is about 12002.1098145284. The cubic root of 144050640 is about 524.2097134669.

The spelling of 144050640 in words is "one hundred forty-four million, fifty thousand, six hundred forty".