144714240 has 240 divisors, whose sum is σ = 547706016. Its totient is φ = 35020800.

The previous prime is 144714233. The next prime is 144714247. The reversal of 144714240 is 42417441.

It is an interprime number because it is at equal distance from previous prime (144714233) and next prime (144714247).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×144714240² = 41884422517555200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144714247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253155 + ... + 253725.

Almost surely, 2^144714240 is an apocalyptic number.

144714240 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 144714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273853008).

144714240 is an abundant number, since it is smaller than the sum of its proper divisors (402991776).

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

144714240 is a wasteful number, since it uses less digits than its factorization.

144714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 144714240 is about 12029.7231888352. The cubic root of 144714240 is about 525.0134418327.

The spelling of 144714240 in words is "one hundred forty-four million, seven hundred fourteen thousand, two hundred forty".