137085106 has 16 divisors (see below), whose sum is σ = 215208000. Its totient is φ = 65366928.

The previous prime is 137085097. The next prime is 137085121. The reversal of 137085106 is 601580731.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11785 + ... + 20323.

It is an arithmetic number, because the mean of its divisors is an integer number (13450500).

Almost surely, 2^137085106 is an apocalyptic number.

137085106 is a deficient number, since it is larger than the sum of its proper divisors (78122894).

137085106 is a wasteful number, since it uses less digits than its factorization.

137085106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 137085106 is about 11708.3348944246. The cubic root of 137085106 is about 515.6203991558.

It can be divided in two parts, 13 and 7085106, that multiplied together give a triangular number (92106378 = T₁₃₅₇₂).

The spelling of 137085106 in words is "one hundred thirty-seven million, eighty-five thousand, one hundred six".