144684540 has 432 divisors, whose sum is σ = 601857984. Its totient is φ = 27371520.

The previous prime is 144684511. The next prime is 144684577. The reversal of 144684540 is 45486441.

It is a happy number.

144684540 is a `hidden beast` number, since 144 + 68 + 454 + 0 = 666.

It is a super-2 number, since 2×144684540² = 41867232230023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144684495 and 144684504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1981944 + ... + 1982016.

Almost surely, 2^144684540 is an apocalyptic number.

144684540 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 144684540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300928992).

144684540 is an abundant number, since it is smaller than the sum of its proper divisors (457173444).

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

144684540 is a wasteful number, since it uses less digits than its factorization.

144684540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 144684540 is about 12028.4886831222. The cubic root of 144684540 is about 524.9775228472.

The spelling of 144684540 in words is "one hundred forty-four million, six hundred eighty-four thousand, five hundred forty".