144782540 has 96 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 46255104.

The previous prime is 144782537. The next prime is 144782551. The reversal of 144782540 is 45287441.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 144782540.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 302021 + ... + 302499.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2^144782540 is an apocalyptic number.

144782540 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 144782540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

144782540 is an abundant number, since it is smaller than the sum of its proper divisors (226806580).

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

144782540 is a wasteful number, since it uses less digits than its factorization.

144782540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 144782540 is about 12032.5616557739. The cubic root of 144782540 is about 525.0960247636.

The spelling of 144782540 in words is "one hundred forty-four million, seven hundred eighty-two thousand, five hundred forty".