137105745 has 32 divisors (see below), whose sum is σ = 252334848. Its totient is φ = 62270208.

The previous prime is 137105723. The next prime is 137105789. The reversal of 137105745 is 547501731.

It is not a de Polignac number, because 137105745 - 2⁹ = 137105233 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12327 + ... + 20643.

It is an arithmetic number, because the mean of its divisors is an integer number (7885464).

Almost surely, 2^137105745 is an apocalyptic number.

137105745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137105745 is a deficient number, since it is larger than the sum of its proper divisors (115229103).

137105745 is a wasteful number, since it uses less digits than its factorization.

137105745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 137105745 is about 11709.2162419182. The cubic root of 137105745 is about 515.6462744574.

The spelling of 137105745 in words is "one hundred thirty-seven million, one hundred five thousand, seven hundred forty-five".