137955727 has 12 divisors (see below), whose sum is σ = 172824456. Its totient is φ = 109151280.

The previous prime is 137955677. The next prime is 137955737. The reversal of 137955727 is 727559731.

It is a de Polignac number, because none of the positive numbers 2^k-137955727 is a prime.

It is a super-2 number, since 2×137955727² = 38063565224197058, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137955737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107649 + ... + 108922.

It is an arithmetic number, because the mean of its divisors is an integer number (14402038).

Almost surely, 2^137955727 is an apocalyptic number.

137955727 is a deficient number, since it is larger than the sum of its proper divisors (34868729).

137955727 is a wasteful number, since it uses less digits than its factorization.

137955727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216598 (or 216591 counting only the distinct ones).

The product of its digits is 463050, while the sum is 46.

The square root of 137955727 is about 11745.4555892907. The cubic root of 137955727 is about 516.7096566842.

The spelling of 137955727 in words is "one hundred thirty-seven million, nine hundred fifty-five thousand, seven hundred twenty-seven".