137755905 has 24 divisors (see below), whose sum is σ = 256396032. Its totient is φ = 62973792.

The previous prime is 137755903. The next prime is 137755907. The reversal of 137755905 is 509557731.

It is an interprime number because it is at equal distance from previous prime (137755903) and next prime (137755907).

It is not a de Polignac number, because 137755905 - 2¹ = 137755903 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137755903) 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 23 ways as a sum of consecutive naturals, for example, 92977 + ... + 94446.

It is an arithmetic number, because the mean of its divisors is an integer number (10683168).

Almost surely, 2^137755905 is an apocalyptic number.

137755905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137755905 is a deficient number, since it is larger than the sum of its proper divisors (118640127).

137755905 is a wasteful number, since it uses less digits than its factorization.

137755905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187445 (or 187438 counting only the distinct ones).

The product of its (nonzero) digits is 165375, while the sum is 42.

The square root of 137755905 is about 11736.9461530672. The cubic root of 137755905 is about 516.4600600678.

The spelling of 137755905 in words is "one hundred thirty-seven million, seven hundred fifty-five thousand, nine hundred five".