137796 has 12 divisors (see below), whose sum is σ = 321552. Its totient is φ = 45928.

The previous prime is 137791. The next prime is 137803. The reversal of 137796 is 697731.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (137791) by changing a digit.

137796 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5730 + ... + 5753.

It is an arithmetic number, because the mean of its divisors is an integer number (26796).

137796 is a Friedman number, since it can be written as 6+9*(7*3^7+1), using all its digits and the basic arithmetic operations.

2¹³⁷⁷⁹⁶ is an apocalyptic number.

It is an amenable number.

137796 is an abundant number, since it is smaller than the sum of its proper divisors (183756).

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

137796 is a wasteful number, since it uses less digits than its factorization.

137796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490 (or 11488 counting only the distinct ones).

The product of its digits is 7938, while the sum is 33.

The square root of 137796 is about 371.2088361017. The cubic root of 137796 is about 51.6510161870.

The spelling of 137796 in words is "one hundred thirty-seven thousand, seven hundred ninety-six".