144772480 has 64 divisors (see below), whose sum is σ = 357310080. Its totient is φ = 56033280.

The previous prime is 144772451. The next prime is 144772483. The reversal of 144772480 is 84277441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144772483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16192 + ... + 23488.

It is an arithmetic number, because the mean of its divisors is an integer number (5582970).

Almost surely, 2^144772480 is an apocalyptic number.

144772480 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 144772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178655040).

144772480 is an abundant number, since it is smaller than the sum of its proper divisors (212537600).

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

144772480 is an equidigital number, since it uses as much as digits as its factorization.

144772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The square root of 144772480 is about 12032.1436161642. The cubic root of 144772480 is about 525.0838626425.

The spelling of 144772480 in words is "one hundred forty-four million, seven hundred seventy-two thousand, four hundred eighty".