144252480 has 112 divisors (see below), whose sum is σ = 484997760. Its totient is φ = 36200448.

The previous prime is 144252439. The next prime is 144252533. The reversal of 144252480 is 84252441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11901 + ... + 20739.

Almost surely, 2^144252480 is an apocalyptic number.

144252480 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 144252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242498880).

144252480 is an abundant number, since it is smaller than the sum of its proper divisors (340745280).

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

144252480 is a wasteful number, since it uses less digits than its factorization.

144252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 144252480 is about 12010.5153927715. The cubic root of 144252480 is about 524.4544355295.

The spelling of 144252480 in words is "one hundred forty-four million, two hundred fifty-two thousand, four hundred eighty".