144834480 has 400 divisors, whose sum is σ = 599199744. Its totient is φ = 31726080.

The previous prime is 144834479. The next prime is 144834491. The reversal of 144834480 is 84438441.

144834480 is a `hidden beast` number, since 144 + 8 + 34 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1406109 + ... + 1406211.

Almost surely, 2^144834480 is an apocalyptic number.

144834480 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 144834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299599872).

144834480 is an abundant number, since it is smaller than the sum of its proper divisors (454365264).

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

144834480 is a wasteful number, since it uses less digits than its factorization.

144834480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 144834480 is about 12034.7197723919. The cubic root of 144834480 is about 525.1588090993.

The spelling of 144834480 in words is "one hundred forty-four million, eight hundred thirty-four thousand, four hundred eighty".