136922940961 has 9 divisors (see below), whose sum is σ = 139915950771. Its totient is φ = 133992665472.

The previous prime is 136922940929. The next prime is 136922940971. The reversal of 136922940961 is 169049229631.

The square root of 136922940961 is 370031.

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., 4176390625 + 132746550336 = 64625^2 + 364344^2 .

It is not a de Polignac number, because 136922940961 - 2⁵ = 136922940929 is a prime.

It is a super-2 number, since 2×136922940961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 136922940899 and 136922940908.

It is not an unprimeable number, because it can be changed into a prime (136922940971) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 17387521 + ... + 17395393.

Almost surely, 2^136922940961 is an apocalyptic number.

136922940961 is the 370031-st square number.

136922940961 is the 185016-th centered octagonal number.

It is an amenable number.

136922940961 is a deficient number, since it is larger than the sum of its proper divisors (2993009810).

136922940961 is an frugal number, since it uses more digits than its factorization.

136922940961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15840 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 136922940961 in words is "one hundred thirty-six billion, nine hundred twenty-two million, nine hundred forty thousand, nine hundred sixty-one".