137607671 has 16 divisors (see below), whose sum is σ = 147744000. Its totient is φ = 127790208.

The previous prime is 137607661. The next prime is 137607677. The reversal of 137607671 is 176706731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137607671 - 2¹⁴ = 137591287 is a prime.

It is a super-2 number, since 2×137607671² = 37871742236088482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137607677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229430 + ... + 230028.

It is an arithmetic number, because the mean of its divisors is an integer number (9234000).

Almost surely, 2^137607671 is an apocalyptic number.

137607671 is a deficient number, since it is larger than the sum of its proper divisors (10136329).

137607671 is a wasteful number, since it uses less digits than its factorization.

137607671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838.

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 137607671 is about 11730.6296079963. The cubic root of 137607671 is about 516.2747457686.

The spelling of 137607671 in words is "one hundred thirty-seven million, six hundred seven thousand, six hundred seventy-one".