144825408 has 280 divisors, whose sum is σ = 530100032. Its totient is φ = 38071296.

The previous prime is 144825403. The next prime is 144825427. The reversal of 144825408 is 804528441.

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

It is not an unprimeable number, because it can be changed into a prime (144825403) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471591 + ... + 471897.

Almost surely, 2^144825408 is an apocalyptic number.

144825408 is a gapful number since it is divisible by the number (18) 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 144825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265050016).

144825408 is an abundant number, since it is smaller than the sum of its proper divisors (385274624).

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

144825408 is a wasteful number, since it uses less digits than its factorization.

144825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 144825408 is about 12034.3428570072. The cubic root of 144825408 is about 525.1478440763.

The spelling of 144825408 in words is "one hundred forty-four million, eight hundred twenty-five thousand, four hundred eight".