144486100 has 54 divisors (see below), whose sum is σ = 344658062. Its totient is φ = 52536000.

The previous prime is 144486047. The next prime is 144486101. The reversal of 144486100 is 1684441.

144486100 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 3 ways, for example, as 2304324 + 142181776 = 1518^2 + 11924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144486101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6130 + ... + 18070.

Almost surely, 2^144486100 is an apocalyptic number.

144486100 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 144486100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172329031).

144486100 is an abundant number, since it is smaller than the sum of its proper divisors (200171962).

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

144486100 is a wasteful number, since it uses less digits than its factorization.

144486100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11977 (or 11959 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 144486100 is about 12020.2371024868. The cubic root of 144486100 is about 524.7374045797.

The spelling of 144486100 in words is "one hundred forty-four million, four hundred eighty-six thousand, one hundred".