144268740 has 216 divisors, whose sum is σ = 555714432. Its totient is φ = 29957760.

The previous prime is 144268727. The next prime is 144268753. The reversal of 144268740 is 47862441.

It is an interprime number because it is at equal distance from previous prime (144268727) and next prime (144268753).

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 = 144268695 and 144268704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96277 + ... + 97763.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^144268740 is an apocalyptic number.

144268740 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 144268740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

144268740 is an abundant number, since it is smaller than the sum of its proper divisors (411445692).

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

144268740 is a wasteful number, since it uses less digits than its factorization.

144268740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 144268740 is about 12011.1922805357. The cubic root of 144268740 is about 524.4741401214.

The spelling of 144268740 in words is "one hundred forty-four million, two hundred sixty-eight thousand, seven hundred forty".