144838980 has 288 divisors, whose sum is σ = 548166528. Its totient is φ = 30412800.

The previous prime is 144838961. The next prime is 144838987. The reversal of 144838980 is 89838441.

144838980 is a `hidden beast` number, since 14 + 483 + 89 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144838987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437415 + ... + 437745.

It is an arithmetic number, because the mean of its divisors is an integer number (1903356).

Almost surely, 2^144838980 is an apocalyptic number.

144838980 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 144838980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274083264).

144838980 is an abundant number, since it is smaller than the sum of its proper divisors (403327548).

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

144838980 is a wasteful number, since it uses less digits than its factorization.

144838980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 144838980 is about 12034.9067300083. The cubic root of 144838980 is about 525.1642479289.

The spelling of 144838980 in words is "one hundred forty-four million, eight hundred thirty-eight thousand, nine hundred eighty".