137288029 has 2 divisors, whose sum is σ = 137288030. Its totient is φ = 137288028.

The previous prime is 137287999. The next prime is 137288033. The reversal of 137288029 is 920882731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84143929 + 53144100 = 9173^2 + 7290^2 .

It is an emirp because it is prime and its reverse (920882731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137288029 - 2¹³ = 137279837 is a prime.

It is a super-3 number, since 3×137288029³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137287982 and 137288000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137282029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68644014 + 68644015.

It is an arithmetic number, because the mean of its divisors is an integer number (68644015).

Almost surely, 2^137288029 is an apocalyptic number.

It is an amenable number.

137288029 is a deficient number, since it is larger than the sum of its proper divisors (1).

137288029 is an equidigital number, since it uses as much as digits as its factorization.

137288029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 137288029 is about 11716.9974396174. The cubic root of 137288029 is about 515.8746928964.

It can be divided in two parts, 1372 and 88029, that added together give a square (89401 = 299²).

The spelling of 137288029 in words is "one hundred thirty-seven million, two hundred eighty-eight thousand, twenty-nine".