136317664 has 96 divisors (see below), whose sum is σ = 322430976. Its totient is φ = 55503360.

The previous prime is 136317653. The next prime is 136317667. The reversal of 136317664 is 466713631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136317667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465102 + ... + 465394.

It is an arithmetic number, because the mean of its divisors is an integer number (3358656).

Almost surely, 2^136317664 is an apocalyptic number.

136317664 is a gapful number since it is divisible by the number (14) 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 136317664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161215488).

136317664 is an abundant number, since it is smaller than the sum of its proper divisors (186113312).

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

136317664 is a wasteful number, since it uses less digits than its factorization.

136317664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 136317664 is about 11675.5155774809. The cubic root of 136317664 is about 514.6564007128.

The spelling of 136317664 in words is "one hundred thirty-six million, three hundred seventeen thousand, six hundred sixty-four".