144194640 has 80 divisors (see below), whose sum is σ = 461446656. Its totient is φ = 37209600.

The previous prime is 144194627. The next prime is 144194651. The reversal of 144194640 is 46491441.

144194640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 2251 + ... + 17130.

Almost surely, 2^144194640 is an apocalyptic number.

144194640 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 144194640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230723328).

144194640 is an abundant number, since it is smaller than the sum of its proper divisors (317252016).

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

144194640 is a wasteful number, since it uses less digits than its factorization.

144194640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19428 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 144194640 is about 12008.1072613464. The cubic root of 144194640 is about 524.3843304383.

The spelling of 144194640 in words is "one hundred forty-four million, one hundred ninety-four thousand, six hundred forty".