137727513 has 64 divisors (see below), whose sum is σ = 262717440. Its totient is φ = 69206400.

The previous prime is 137727503. The next prime is 137727517. The reversal of 137727513 is 315727731.

137727513 is a `hidden beast` number, since 1 + 377 + 275 + 13 = 666.

It is not a de Polignac number, because 137727513 - 2⁵ = 137727481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137727517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63381 + ... + 65517.

It is an arithmetic number, because the mean of its divisors is an integer number (4104960).

Almost surely, 2^137727513 is an apocalyptic number.

It is an amenable number.

137727513 is a deficient number, since it is larger than the sum of its proper divisors (124989927).

137727513 is a wasteful number, since it uses less digits than its factorization.

137727513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2189 counting only the distinct ones).

The product of its digits is 30870, while the sum is 36.

The square root of 137727513 is about 11735.7365767982. The cubic root of 137727513 is about 516.4245761890.

The spelling of 137727513 in words is "one hundred thirty-seven million, seven hundred twenty-seven thousand, five hundred thirteen".