144676896 has 96 divisors (see below), whose sum is σ = 467445888. Its totient is φ = 38154240.

The previous prime is 144676891. The next prime is 144676921. The reversal of 144676896 is 698676441.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (144676891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 456 + ... + 17016.

It is an arithmetic number, because the mean of its divisors is an integer number (4869228).

Almost surely, 2^144676896 is an apocalyptic number.

144676896 is a gapful number since it is divisible by the number (16) 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 144676896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233722944).

144676896 is an abundant number, since it is smaller than the sum of its proper divisors (322768992).

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

144676896 is a wasteful number, since it uses less digits than its factorization.

144676896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16594 (or 16586 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 144676896 is about 12028.1709332716. The cubic root of 144676896 is about 524.9682774483.

The spelling of 144676896 in words is "one hundred forty-four million, six hundred seventy-six thousand, eight hundred ninety-six".