137676105 has 40 divisors (see below), whose sum is σ = 282059712. Its totient is φ = 62936352.

The previous prime is 137676101. The next prime is 137676127. The reversal of 137676105 is 501676731.

137676105 is a `hidden beast` number, since 1 + 37 + 6 + 7 + 610 + 5 = 666.

It is not a de Polignac number, because 137676105 - 2² = 137676101 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137676105.

It is not an unprimeable number, because it can be changed into a prime (137676101) 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 39 ways as a sum of consecutive naturals, for example, 21447 + ... + 27116.

Almost surely, 2^137676105 is an apocalyptic number.

137676105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137676105 is an abundant number, since it is smaller than the sum of its proper divisors (144383607).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137676105 is an equidigital number, since it uses as much as digits as its factorization.

137676105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48587 (or 48578 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 137676105 is about 11733.5461391687. The cubic root of 137676105 is about 516.3603148616.

The spelling of 137676105 in words is "one hundred thirty-seven million, six hundred seventy-six thousand, one hundred five".