144661776 has 80 divisors (see below), whose sum is σ = 437555328. Its totient is φ = 40320000.

The previous prime is 144661747. The next prime is 144661787. The reversal of 144661776 is 677166441.

144661776 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8526 + ... + 19026.

Almost surely, 2^144661776 is an apocalyptic number.

144661776 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 144661776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218777664).

144661776 is an abundant number, since it is smaller than the sum of its proper divisors (292893552).

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

144661776 is a wasteful number, since it uses less digits than its factorization.

144661776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10554 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 144661776 is about 12027.5423923593. The cubic root of 144661776 is about 524.9499888869.

The spelling of 144661776 in words is "one hundred forty-four million, six hundred sixty-one thousand, seven hundred seventy-six".