137568 has 24 divisors (see below), whose sum is σ = 361368. Its totient is φ = 45824.

The previous prime is 137567. The next prime is 137573. The reversal of 137568 is 865731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 621 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (15057).

2¹³⁷⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

137568 is an abundant number, since it is smaller than the sum of its proper divisors (223800).

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

137568 is a wasteful number, since it uses less digits than its factorization.

137568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 137568 is about 370.9016042025. The cubic root of 137568 is about 51.6225128612.

The spelling of 137568 in words is "one hundred thirty-seven thousand, five hundred sixty-eight".