137071 has 8 divisors (see below), whose sum is σ = 158544. Its totient is φ = 117120.

The previous prime is 137029. The next prime is 137077. The reversal of 137071 is 170731.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137071 - 2⁷ = 136943 is a prime.

It is a Duffinian number.

137071 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137077) 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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 553.

It is an arithmetic number, because the mean of its divisors is an integer number (19818).

2¹³⁷⁰⁷¹ is an apocalyptic number.

137071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137071 is a deficient number, since it is larger than the sum of its proper divisors (21473).

137071 is a wasteful number, since it uses less digits than its factorization.

137071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 137071 is about 370.2310089660. The cubic root of 137071 is about 51.5602712841.

It can be divided in two parts, 1370 and 71, that added together give a palindrome (1441).

The spelling of 137071 in words is "one hundred thirty-seven thousand, seventy-one".