136664640 has 168 divisors, whose sum is σ = 537301440. Its totient is φ = 31233024.

The previous prime is 136664639. The next prime is 136664641. The reversal of 136664640 is 46466631.

It is an interprime number because it is at equal distance from previous prime (136664639) and next prime (136664641).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136664595 and 136664604.

It is not an unprimeable number, because it can be changed into a prime (136664641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16771 + ... + 23549.

Almost surely, 2^136664640 is an apocalyptic number.

136664640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268650720).

136664640 is an abundant number, since it is smaller than the sum of its proper divisors (400636800).

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

136664640 is a wasteful number, since it uses less digits than its factorization.

136664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 136664640 is about 11690.3652637546. The cubic root of 136664640 is about 515.0926907660.

The spelling of 136664640 in words is "one hundred thirty-six million, six hundred sixty-four thousand, six hundred forty".