137727675 has 48 divisors (see below), whose sum is σ = 266352000. Its totient is φ = 69582240.

The previous prime is 137727671. The next prime is 137727683. The reversal of 137727675 is 576727731.

137727675 is a `hidden beast` number, since 1 + 377 + 276 + 7 + 5 = 666.

It is not a de Polignac number, because 137727675 - 2² = 137727671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137727675.

It is not an unprimeable number, because it can be changed into a prime (137727671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7456 + ... + 18194.

It is an arithmetic number, because the mean of its divisors is an integer number (5549000).

Almost surely, 2^137727675 is an apocalyptic number.

137727675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137727675 is a deficient number, since it is larger than the sum of its proper divisors (128624325).

137727675 is a wasteful number, since it uses less digits than its factorization.

137727675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10766 counting only the distinct ones).

The product of its digits is 432180, while the sum is 45.

The square root of 137727675 is about 11735.7434787916. The cubic root of 137727675 is about 516.4247786679.

The spelling of 137727675 in words is "one hundred thirty-seven million, seven hundred twenty-seven thousand, six hundred seventy-five".