144074980 has 96 divisors (see below), whose sum is σ = 361912320. Its totient is φ = 47139840.

The previous prime is 144074977. The next prime is 144074981. The reversal of 144074980 is 89470441.

144074980 = 135² + 136² + ... + 757².

It is not an unprimeable number, because it can be changed into a prime (144074981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386074 + ... + 386446.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2^144074980 is an apocalyptic number.

144074980 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 144074980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180956160).

144074980 is an abundant number, since it is smaller than the sum of its proper divisors (217837340).

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

144074980 is a wasteful number, since it uses less digits than its factorization.

144074980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 144074980 is about 12003.1237600885. The cubic root of 144074980 is about 524.2392367555.

The spelling of 144074980 in words is "one hundred forty-four million, seventy-four thousand, nine hundred eighty".