136237762816 has 243 divisors, whose sum is σ = 307192305721. Its totient is φ = 60285018112.

The previous prime is 136237762777. The next prime is 136237762819. The reversal of 136237762816 is 618267732631.

The square root of 136237762816 is 369104.

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

It can be written as a sum of positive squares in only one way, i.e., 106067462400 + 30170300416 = 325680^2 + 173696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136237762819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2309114595 + ... + 2309114653.

Almost surely, 2^136237762816 is an apocalyptic number.

136237762816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136237762816 is the 369104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136237762816

136237762816 is an abundant number, since it is smaller than the sum of its proper divisors (170954542905).

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

136237762816 is an frugal number, since it uses more digits than its factorization.

136237762816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 101 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The spelling of 136237762816 in words is "one hundred thirty-six billion, two hundred thirty-seven million, seven hundred sixty-two thousand, eight hundred sixteen".