144998100 has 324 divisors, whose sum is σ = 538145244. Its totient is φ = 33592320.

The previous prime is 144998081. The next prime is 144998111. The reversal of 144998100 is 1899441.

144998100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5143824 + 139854276 = 2268^2 + 11826^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×144998100² = 42048898007220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8529292 + ... + 8529308.

Almost surely, 2^144998100 is an apocalyptic number.

144998100 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 144998100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269072622).

144998100 is an abundant number, since it is smaller than the sum of its proper divisors (393147144).

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

144998100 is a wasteful number, since it uses less digits than its factorization.

144998100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 144998100 is about 12041.5156853280. The cubic root of 144998100 is about 525.3564925687.

The spelling of 144998100 in words is "one hundred forty-four million, nine hundred ninety-eight thousand, one hundred".