137743307 has 8 divisors (see below), whose sum is σ = 150771600. Its totient is φ = 125062560.

The previous prime is 137743273. The next prime is 137743321. The reversal of 137743307 is 703347731.

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 137743307 - 2¹² = 137739211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137743387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86057 + ... + 87642.

It is an arithmetic number, because the mean of its divisors is an integer number (18846450).

Almost surely, 2^137743307 is an apocalyptic number.

137743307 is a deficient number, since it is larger than the sum of its proper divisors (13028293).

137743307 is a wasteful number, since it uses less digits than its factorization.

137743307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173773.

The product of its (nonzero) digits is 37044, while the sum is 35.

The square root of 137743307 is about 11736.4094594556. The cubic root of 137743307 is about 516.4443158857. Note that the first 3 decimals are identical.

The spelling of 137743307 in words is "one hundred thirty-seven million, seven hundred forty-three thousand, three hundred seven".