137288729 has 4 divisors (see below), whose sum is σ = 137429376. Its totient is φ = 137148084.

The previous prime is 137288713. The next prime is 137288731. The reversal of 137288729 is 927882731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 927882731 = 31 ⋅29931701.

It is a cyclic number.

It is not a de Polignac number, because 137288729 - 2⁴ = 137288713 is a prime.

It is a super-3 number, since 3×137288729³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137288029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68849 + ... + 70814.

It is an arithmetic number, because the mean of its divisors is an integer number (34357344).

Almost surely, 2^137288729 is an apocalyptic number.

It is an amenable number.

137288729 is a deficient number, since it is larger than the sum of its proper divisors (140647).

137288729 is an equidigital number, since it uses as much as digits as its factorization.

137288729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140646.

The product of its digits is 338688, while the sum is 47.

The square root of 137288729 is about 11717.0273107132. The cubic root of 137288729 is about 515.8755696703.

The spelling of 137288729 in words is "one hundred thirty-seven million, two hundred eighty-eight thousand, seven hundred twenty-nine".