137690 has 24 divisors (see below), whose sum is σ = 289332. Its totient is φ = 47040.

The previous prime is 137659. The next prime is 137699. The reversal of 137690 is 96731.

It is a happy number.

137690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 137641 + 49 = 371^2 + 7^2 .

It is a super-2 number, since 2×137690² = 37917072200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137699) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350 + ... + 630.

2¹³⁷⁶⁹⁰ is an apocalyptic number.

137690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137690 is an abundant number, since it is smaller than the sum of its proper divisors (151642).

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

137690 is a wasteful number, since it uses less digits than its factorization.

137690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 137690 is about 371.0660318596. The cubic root of 137690 is about 51.6377685548.

The spelling of 137690 in words is "one hundred thirty-seven thousand, six hundred ninety".