137816 has 32 divisors (see below), whose sum is σ = 311040. Its totient is φ = 55968.

The previous prime is 137803. The next prime is 137827. The reversal of 137816 is 618731.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

137816 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1235 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

137816 is a Friedman number, since it can be written as 7*(6+3^(8+1)-1), using all its digits and the basic arithmetic operations.

2¹³⁷⁸¹⁶ 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 137816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

137816 is an abundant number, since it is smaller than the sum of its proper divisors (173224).

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

137816 is a wasteful number, since it uses less digits than its factorization.

137816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 137816 is about 371.2357741382. The cubic root of 137816 is about 51.6535149784.

The spelling of 137816 in words is "one hundred thirty-seven thousand, eight hundred sixteen".