137696 has 24 divisors (see below), whose sum is σ = 292824. Its totient is φ = 63360.

The previous prime is 137659. The next prime is 137699. The reversal of 137696 is 696731.

137696 = T₁₃₉ + T₁₄₀ + ... + T₁₅₁.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (12201).

137696 is a Friedman number, since it can be written as 7*(3^9-6-6)-1, using all its digits and the basic arithmetic operations.

2¹³⁷⁶⁹⁶ is an apocalyptic number.

137696 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 137696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146412).

137696 is an abundant number, since it is smaller than the sum of its proper divisors (155128).

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

137696 is a wasteful number, since it uses less digits than its factorization.

137696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 137696 is about 371.0741165859. The cubic root of 137696 is about 51.6385186022.

The spelling of 137696 in words is "one hundred thirty-seven thousand, six hundred ninety-six".