144709240 has 128 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 50342400.

The previous prime is 144709237. The next prime is 144709249. The reversal of 144709240 is 42907441.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a cake number, because a cake can be divided into 144709240 parts by 954 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144709249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757545 + ... + 757735.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2^144709240 is an apocalyptic number.

144709240 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 144709240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

144709240 is an abundant number, since it is smaller than the sum of its proper divisors (226879880).

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

144709240 is a wasteful number, since it uses less digits than its factorization.

144709240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 144709240 is about 12029.5153684594. The cubic root of 144709240 is about 525.0073952095.

144709240 divided by its sum of digits (31) gives a triangular number (4668040 = T₃₀₅₅).

The spelling of 144709240 in words is "one hundred forty-four million, seven hundred nine thousand, two hundred forty".