144146464 has 96 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 53187840.

The previous prime is 144146461. The next prime is 144146473. The reversal of 144146464 is 464641441.

It is not an unprimeable number, because it can be changed into a prime (144146461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45277 + ... + 48355.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2^144146464 is an apocalyptic number.

144146464 is a gapful number since it is divisible by the number (14) 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 144146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

144146464 is an abundant number, since it is smaller than the sum of its proper divisors (228410336).

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

144146464 is a wasteful number, since it uses less digits than its factorization.

144146464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3118 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 144146464 is about 12006.1011156828. The cubic root of 144146464 is about 524.3259243064.

The spelling of 144146464 in words is "one hundred forty-four million, one hundred forty-six thousand, four hundred sixty-four".