137610705 has 16 divisors (see below), whose sum is σ = 227280384. Its totient is φ = 71024640.

The previous prime is 137610701. The next prime is 137610743. The reversal of 137610705 is 507016731.

It is not a de Polignac number, because 137610705 - 2² = 137610701 is a prime.

It is a super-2 number, since 2×137610705² = 37873412261194050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137610701) 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 15 ways as a sum of consecutive naturals, for example, 147504 + ... + 148433.

It is an arithmetic number, because the mean of its divisors is an integer number (14205024).

Almost surely, 2^137610705 is an apocalyptic number.

137610705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137610705 is a deficient number, since it is larger than the sum of its proper divisors (89669679).

137610705 is a wasteful number, since it uses less digits than its factorization.

137610705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295976.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 137610705 is about 11730.7589268555. The cubic root of 137610705 is about 516.2785400485.

The spelling of 137610705 in words is "one hundred thirty-seven million, six hundred ten thousand, seven hundred five".