137819 has 12 divisors (see below), whose sum is σ = 162792. Its totient is φ = 116160.

The previous prime is 137803. The next prime is 137827. The reversal of 137819 is 918731.

137819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137819 - 2⁴ = 137803 is a prime.

It is a super-2 number, since 2×137819² = 37988153522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137791 and 137800.

It is not an unprimeable number, because it can be changed into a prime (137849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2024 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (13566).

2¹³⁷⁸¹⁹ is an apocalyptic number.

137819 is a deficient number, since it is larger than the sum of its proper divisors (24973).

137819 is a wasteful number, since it uses less digits than its factorization.

137819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its digits is 1512, while the sum is 29.

The square root of 137819 is about 371.2398146751. The cubic root of 137819 is about 51.6538897762.

The spelling of 137819 in words is "one hundred thirty-seven thousand, eight hundred nineteen".