144047640 has 256 divisors, whose sum is σ = 503884800. Its totient is φ = 32614400.

The previous prime is 144047633. The next prime is 144047671. The reversal of 144047640 is 46740441.

144047640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144047598 and 144047607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2028805 + ... + 2028875.

It is an arithmetic number, because the mean of its divisors is an integer number (1968300).

Almost surely, 2^144047640 is an apocalyptic number.

144047640 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 144047640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251942400).

144047640 is an abundant number, since it is smaller than the sum of its proper divisors (359837160).

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

144047640 is a wasteful number, since it uses less digits than its factorization.

144047640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 144047640 is about 12001.9848358511. The cubic root of 144047640 is about 524.2060743761.

The spelling of 144047640 in words is "one hundred forty-four million, forty-seven thousand, six hundred forty".