137640313 has 8 divisors (see below), whose sum is σ = 153407520. Its totient is φ = 122725440.

The previous prime is 137640289. The next prime is 137640319. The reversal of 137640313 is 313046731.

It is a happy number.

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 137640313 - 2¹⁷ = 137509241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137640319) 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, 212743 + ... + 213388.

It is an arithmetic number, because the mean of its divisors is an integer number (19175940).

Almost surely, 2^137640313 is an apocalyptic number.

It is an amenable number.

137640313 is a deficient number, since it is larger than the sum of its proper divisors (15767207).

137640313 is a wasteful number, since it uses less digits than its factorization.

137640313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426167.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 137640313 is about 11732.0208404179. The cubic root of 137640313 is about 516.3155644909.

The spelling of 137640313 in words is "one hundred thirty-seven million, six hundred forty thousand, three hundred thirteen".