144129566736 has 135 divisors (see below), whose sum is σ = 428715905943. Its totient is φ = 45192821760.

The previous prime is 144129566729. The next prime is 144129566743. The reversal of 144129566736 is 637665921441.

It is a happy number.

The square root of 144129566736 is 379644.

It is a perfect power (a square), and thus also a powerful number.

144129566736 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 2 + 9 + 566 + 73 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (144129566729) and next prime (144129566743).

It can be written as a sum of positive squares in 4 ways, for example, as 28083056400 + 116046510336 = 167580^2 + 340656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77446446 + ... + 77448306.

Almost surely, 2^144129566736 is an apocalyptic number.

144129566736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144129566736 is the 379644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144129566736

144129566736 is an abundant number, since it is smaller than the sum of its proper divisors (284586339207).

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

144129566736 is an equidigital number, since it uses as much as digits as its factorization.

144129566736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 1883 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 144129566736 in words is "one hundred forty-four billion, one hundred twenty-nine million, five hundred sixty-six thousand, seven hundred thirty-six".