144925440 has 288 divisors, whose sum is σ = 522740736. Its totient is φ = 33914880.

The previous prime is 144925427. The next prime is 144925457. The reversal of 144925440 is 44529441.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985244 + ... + 1985316.

It is an arithmetic number, because the mean of its divisors is an integer number (1815072).

Almost surely, 2^144925440 is an apocalyptic number.

144925440 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 144925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261370368).

144925440 is an abundant number, since it is smaller than the sum of its proper divisors (377815296).

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

144925440 is a wasteful number, since it uses less digits than its factorization.

144925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 144925440 is about 12038.4982452131. The cubic root of 144925440 is about 525.2687241066.

The spelling of 144925440 in words is "one hundred forty-four million, nine hundred twenty-five thousand, four hundred forty".