144564100 has 36 divisors (see below), whose sum is σ = 316201984. Its totient is φ = 57365280.

The previous prime is 144564071. The next prime is 144564197. The reversal of 144564100 is 1465441.

144564100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7009 + ... + 18391.

Almost surely, 2^144564100 is an apocalyptic number.

144564100 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 144564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158100992).

144564100 is an abundant number, since it is smaller than the sum of its proper divisors (171637884).

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

144564100 is a wasteful number, since it uses less digits than its factorization.

144564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 144564100 is about 12023.4811930655. The cubic root of 144564100 is about 524.8318130951.

The spelling of 144564100 in words is "one hundred forty-four million, five hundred sixty-four thousand, one hundred".