136964 has 12 divisors (see below), whose sum is σ = 242844. Its totient is φ = 67584.

The previous prime is 136963. The next prime is 136973. The reversal of 136964 is 469631.

136964 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 78400 = 242^2 + 280^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136964.

It is not an unprimeable number, because it can be changed into a prime (136963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (20237).

2¹³⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

136964 is a deficient number, since it is larger than the sum of its proper divisors (105880).

136964 is a wasteful number, since it uses less digits than its factorization.

136964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 136964 is about 370.0864763809. The cubic root of 136964 is about 51.5468515110.

It can be divided in two parts, 1369 and 64, that multiplied together give a square (87616 = 296²).

The spelling of 136964 in words is "one hundred thirty-six thousand, nine hundred sixty-four".