137664306 has 64 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 41316480.

The previous prime is 137664301. The next prime is 137664311. The reversal of 137664306 is 603466731.

It is a happy number.

137664306 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 643 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (137664301) and next prime (137664311).

It is a super-2 number, since 2×137664306² = 37902922292923272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137664301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26391 + ... + 31173.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2^137664306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137664306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).

137664306 is an abundant number, since it is smaller than the sum of its proper divisors (199894734).

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

137664306 is a wasteful number, since it uses less digits than its factorization.

137664306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 137664306 is about 11733.0433392194. The cubic root of 137664306 is about 516.3455635499.

The spelling of 137664306 in words is "one hundred thirty-seven million, six hundred sixty-four thousand, three hundred six".