144461600 has 72 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 57509120.

The previous prime is 144461593. The next prime is 144461627. The reversal of 144461600 is 6164441.

It is a self number, because there is not a number n which added to its sum of digits gives 144461600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286949 + ... + 287451.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^144461600 is an apocalyptic number.

144461600 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 144461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

144461600 is an abundant number, since it is smaller than the sum of its proper divisors (209890720).

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

144461600 is a wasteful number, since it uses less digits than its factorization.

144461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 144461600 is about 12019.2179446085. The cubic root of 144461600 is about 524.7077436109.

The spelling of 144461600 in words is "one hundred forty-four million, four hundred sixty-one thousand, six hundred".