144736115364 has 81 divisors (see below), whose sum is σ = 369067804833. Its totient is φ = 47826124704.

The previous prime is 144736115351. The next prime is 144736115371. The reversal of 144736115364 is 463511637441.

The square root of 144736115364 is 380442.

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

144736115364 is a `hidden beast` number, since 1 + 4 + 473 + 6 + 115 + 3 + 64 = 666.

144736115364 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 only one way, i.e., 34166564964 + 110569550400 = 184842^2 + 332520^2 .

It is a super-2 number, since 2×144736115364² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 372072082 + ... + 372072470.

Almost surely, 2^144736115364 is an apocalyptic number.

144736115364 is the 380442-nd square number.

It is an amenable number.

144736115364 is an abundant number, since it is smaller than the sum of its proper divisors (224331689469).

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

144736115364 is an equidigital number, since it uses as much as digits as its factorization.

144736115364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 557 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

It can be divided in two parts, 144736 and 115364, that added together give a square (260100 = 510²).

The spelling of 144736115364 in words is "one hundred forty-four billion, seven hundred thirty-six million, one hundred fifteen thousand, three hundred sixty-four".