137730073 has 16 divisors (see below), whose sum is σ = 158230800. Its totient is φ = 118757376.

The previous prime is 137730067. The next prime is 137730113. The reversal of 137730073 is 370037731.

It can be written as a sum of positive squares in 8 ways, for example, as 1937664 + 135792409 = 1392^2 + 11653^2 .

It is not a de Polignac number, because 137730073 - 2⁹ = 137729561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137730053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28003 + ... + 32551.

It is an arithmetic number, because the mean of its divisors is an integer number (9889425).

Almost surely, 2^137730073 is an apocalyptic number.

137730073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137730073 is a deficient number, since it is larger than the sum of its proper divisors (20500727).

137730073 is a wasteful number, since it uses less digits than its factorization.

137730073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716.

The product of its (nonzero) digits is 9261, while the sum is 31.

The square root of 137730073 is about 11735.8456448609. The cubic root of 137730073 is about 516.4277758371.

It can be divided in two parts, 137 and 730073, that multiplied together give a palindrome (100020001).

The spelling of 137730073 in words is "one hundred thirty-seven million, seven hundred thirty thousand, seventy-three".