137668905 has 24 divisors (see below), whose sum is σ = 260320320. Its totient is φ = 66748320.

The previous prime is 137668903. The next prime is 137668933. The reversal of 137668905 is 509866731.

It is a happy number.

It is not a de Polignac number, because 137668905 - 2¹ = 137668903 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (137668901) 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 23 ways as a sum of consecutive naturals, for example, 138565 + ... + 139554.

It is an arithmetic number, because the mean of its divisors is an integer number (10846680).

Almost surely, 2^137668905 is an apocalyptic number.

137668905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137668905 is a deficient number, since it is larger than the sum of its proper divisors (122651415).

137668905 is a wasteful number, since it uses less digits than its factorization.

137668905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278141 (or 278138 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 137668905 is about 11733.2393225400. The cubic root of 137668905 is about 516.3513133986.

The spelling of 137668905 in words is "one hundred thirty-seven million, six hundred sixty-eight thousand, nine hundred five".