136193664 has 128 divisors (see below), whose sum is σ = 395988480. Its totient is φ = 41287680.

The previous prime is 136193627. The next prime is 136193669. The reversal of 136193664 is 466391631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×136193664² = 37097428227489792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136193669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202032 + ... + 202704.

It is an arithmetic number, because the mean of its divisors is an integer number (3093660).

Almost surely, 2^136193664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197994240).

136193664 is an abundant number, since it is smaller than the sum of its proper divisors (259794816).

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

136193664 is a wasteful number, since it uses less digits than its factorization.

136193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 726 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 136193664 is about 11670.2041113256. The cubic root of 136193664 is about 514.5003026893.

The spelling of 136193664 in words is "one hundred thirty-six million, one hundred ninety-three thousand, six hundred sixty-four".