137664307 has 8 divisors (see below), whose sum is σ = 150308352. Its totient is φ = 125041800.

The previous prime is 137664301. The next prime is 137664311. The reversal of 137664307 is 703466731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137664307 - 2³ = 137664299 is a prime.

It is a super-2 number, since 2×137664307² = 37902922843580498, which contains 22 as substring.

It is a Duffinian number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9882 + ... + 19312.

It is an arithmetic number, because the mean of its divisors is an integer number (18788544).

Almost surely, 2^137664307 is an apocalyptic number.

137664307 is a deficient number, since it is larger than the sum of its proper divisors (12644045).

137664307 is a wasteful number, since it uses less digits than its factorization.

137664307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769.

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 137664307 is about 11733.0433818341. The cubic root of 137664307 is about 516.3455648001.

The spelling of 137664307 in words is "one hundred thirty-seven million, six hundred sixty-four thousand, three hundred seven".