137729029 has 2 divisors, whose sum is σ = 137729030. Its totient is φ = 137729028.

The previous prime is 137729017. The next prime is 137729047. The reversal of 137729029 is 920927731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82628100 + 55100929 = 9090^2 + 7423^2 .

It is a cyclic number.

It is not a de Polignac number, because 137729029 - 2⁷ = 137728901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137728982 and 137729000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137729099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68864514 + 68864515.

It is an arithmetic number, because the mean of its divisors is an integer number (68864515).

Almost surely, 2^137729029 is an apocalyptic number.

It is an amenable number.

137729029 is a deficient number, since it is larger than the sum of its proper divisors (1).

137729029 is an equidigital number, since it uses as much as digits as its factorization.

137729029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 137729029 is about 11735.8011656640. The cubic root of 137729029 is about 516.4264709854.

It can be divided in two parts, 13772 and 9029, that added together give a square (22801 = 151²).

The spelling of 137729029 in words is "one hundred thirty-seven million, seven hundred twenty-nine thousand, twenty-nine".