137838727 has 16 divisors (see below), whose sum is σ = 153024480. Its totient is φ = 123334272.

The previous prime is 137838721. The next prime is 137838731. The reversal of 137838727 is 727838731.

It is a cyclic number.

It is not a de Polignac number, because 137838727 - 2¹¹ = 137836679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137838721) 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, 244548 + ... + 245110.

It is an arithmetic number, because the mean of its divisors is an integer number (9564030).

Almost surely, 2^137838727 is an apocalyptic number.

137838727 is a deficient number, since it is larger than the sum of its proper divisors (15185753).

137838727 is a wasteful number, since it uses less digits than its factorization.

137838727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122.

The product of its digits is 395136, while the sum is 46.

The square root of 137838727 is about 11740.4738831105. The cubic root of 137838727 is about 516.5635418646.

The spelling of 137838727 in words is "one hundred thirty-seven million, eight hundred thirty-eight thousand, seven hundred twenty-seven".