144854100 has 216 divisors, whose sum is σ = 491531040. Its totient is φ = 35562240.

The previous prime is 144854071. The next prime is 144854113. The reversal of 144854100 is 1458441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 735202 + ... + 735398.

Almost surely, 2^144854100 is an apocalyptic number.

144854100 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 144854100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

144854100 is an abundant number, since it is smaller than the sum of its proper divisors (346676940).

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

144854100 is a wasteful number, since it uses less digits than its factorization.

144854100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 144854100 is about 12035.5348863272. The cubic root of 144854100 is about 525.1825215712.

The spelling of 144854100 in words is "one hundred forty-four million, eight hundred fifty-four thousand, one hundred".