144217290 has 192 divisors, whose sum is σ = 443232000. Its totient is φ = 29804544.

The previous prime is 144217289. The next prime is 144217303. The reversal of 144217290 is 92712441.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 724611 + ... + 724809.

It is an arithmetic number, because the mean of its divisors is an integer number (2308500).

Almost surely, 2^144217290 is an apocalyptic number.

144217290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144217290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221616000).

144217290 is an abundant number, since it is smaller than the sum of its proper divisors (299014710).

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

144217290 is a wasteful number, since it uses less digits than its factorization.

144217290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 144217290 is about 12009.0503371416. The cubic root of 144217290 is about 524.4117856503.

The spelling of 144217290 in words is "one hundred forty-four million, two hundred seventeen thousand, two hundred ninety".