144100640 has 48 divisors (see below), whose sum is σ = 346881528. Its totient is φ = 56549376.

The previous prime is 144100633. The next prime is 144100643. The reversal of 144100640 is 46001441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104611984 + 39488656 = 10228^2 + 6284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144100643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17 + ... + 16976.

Almost surely, 2^144100640 is an apocalyptic number.

144100640 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 144100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173440764).

144100640 is an abundant number, since it is smaller than the sum of its proper divisors (202780888).

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

144100640 is a wasteful number, since it uses less digits than its factorization.

144100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061 (or 17053 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 144100640 is about 12004.1926009207. The cubic root of 144100640 is about 524.2703575424.

The spelling of 144100640 in words is "one hundred forty-four million, one hundred thousand, six hundred forty".