137346 has 16 divisors (see below), whose sum is σ = 299808. Its totient is φ = 41600.

The previous prime is 137341. The next prime is 137353. The reversal of 137346 is 643731.

It is a d-powerful number, because it can be written as 1 + 3 + 3⁹ + 7⁶ + 4 + 6 .

It is a Curzon number.

It is a plaindrome in base 7.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (137341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 975 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (18738).

2¹³⁷³⁴⁶ is an apocalyptic number.

137346 is an abundant number, since it is smaller than the sum of its proper divisors (162462).

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

137346 is a wasteful number, since it uses less digits than its factorization.

137346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097.

The product of its digits is 1512, while the sum is 24.

The square root of 137346 is about 370.6022126216. The cubic root of 137346 is about 51.5947293457.

The spelling of 137346 in words is "one hundred thirty-seven thousand, three hundred forty-six".