137083729 has 4 divisors (see below), whose sum is σ = 137125476. Its totient is φ = 137041984.

The previous prime is 137083721. The next prime is 137083757. The reversal of 137083729 is 927380731.

137083729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 71910400 + 65173329 = 8480^2 + 8073^2 .

It is a cyclic number.

It is not a de Polignac number, because 137083729 - 2³ = 137083721 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137083691 and 137083700.

It is not an unprimeable number, because it can be changed into a prime (137083721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15484 + ... + 22669.

It is an arithmetic number, because the mean of its divisors is an integer number (34281369).

Almost surely, 2^137083729 is an apocalyptic number.

It is an amenable number.

137083729 is a deficient number, since it is larger than the sum of its proper divisors (41747).

137083729 is an equidigital number, since it uses as much as digits as its factorization.

137083729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41746.

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 137083729 is about 11708.2760900143. The cubic root of 137083729 is about 515.6186727060.

The spelling of 137083729 in words is "one hundred thirty-seven million, eighty-three thousand, seven hundred twenty-nine".