136964913646401 has 27 divisors (see below), whose sum is σ = 198674794002243. Its totient is φ = 90925445465280.

The previous prime is 136964913646399. The next prime is 136964913646411. The reversal of 136964913646401 is 104646319469631.

The square root of 136964913646401 is 11703201.

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

136964913646401 is a `hidden beast` number, since 1 + 3 + 6 + 96 + 4 + 9 + 136 + 4 + 6 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103007255264001 + 33957658382400 = 10149249^2 + 5827320^2 .

It is not a de Polignac number, because 136964913646401 - 2¹ = 136964913646399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136964913646411) 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 26 ways as a sum of consecutive naturals, for example, 8461406230 + ... + 8461422416.

Almost surely, 2^{136964913646401} is an apocalyptic number.

136964913646401 is the 11703201-st square number.

136964913646401 is the 5851601-st centered octagonal number.

It is an amenable number.

136964913646401 is a deficient number, since it is larger than the sum of its proper divisors (61709880355842).

136964913646401 is an frugal number, since it uses more digits than its factorization.

136964913646401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32862 (or 16431 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 136964913646401 in words is "one hundred thirty-six trillion, nine hundred sixty-four billion, nine hundred thirteen million, six hundred forty-six thousand, four hundred one".