137264 has 20 divisors (see below), whose sum is σ = 278256. Its totient is φ = 65472.

The previous prime is 137251. The next prime is 137273. The reversal of 137264 is 462731.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

137264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 182 + ... + 554.

2¹³⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139128).

137264 is an abundant number, since it is smaller than the sum of its proper divisors (140992).

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

137264 is a wasteful number, since it uses less digits than its factorization.

137264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 137264 is about 370.4915653561. The cubic root of 137264 is about 51.5844593947.

Adding to 137264 its reverse (462731), we get a palindrome (599995).

The spelling of 137264 in words is "one hundred thirty-seven thousand, two hundred sixty-four".