156733642816 has 189 divisors, whose sum is σ = 343481354311. Its totient is φ = 70944563200.

The previous prime is 156733642777. The next prime is 156733642829. The reversal of 156733642816 is 618246337651.

The square root of 156733642816 is 395896.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11041806400 + 145691836416 = 105080^2 + 381696^2 .

It is a Duffinian number.

Its product of digits (4354560) is a multiple of the sum of its prime factors (270).

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, 2207516061 + ... + 2207516131.

Almost surely, 2^156733642816 is an apocalyptic number.

156733642816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

156733642816 is the 395896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156733642816

156733642816 is an abundant number, since it is smaller than the sum of its proper divisors (186747711495).

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

156733642816 is an frugal number, since it uses more digits than its factorization.

156733642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 131 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 156733642816 in words is "one hundred fifty-six billion, seven hundred thirty-three million, six hundred forty-two thousand, eight hundred sixteen".