137536 has 28 divisors (see below), whose sum is σ = 312928. Its totient is φ = 58752.

The previous prime is 137519. The next prime is 137537. The reversal of 137536 is 635731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 137536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137537) 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 3 ways as a sum of consecutive naturals, for example, 295 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (11176).

2¹³⁷⁵³⁶ is an apocalyptic number.

137536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156464).

137536 is an abundant number, since it is smaller than the sum of its proper divisors (175392).

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

137536 is an equidigital number, since it uses as much as digits as its factorization.

137536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 137536 is about 370.8584635680. The cubic root of 137536 is about 51.6185098748.

The spelling of 137536 in words is "one hundred thirty-seven thousand, five hundred thirty-six".