137919 has 8 divisors (see below), whose sum is σ = 189952. Its totient is φ = 88920.

The previous prime is 137911. The next prime is 137927. The reversal of 137919 is 919731.

It is an interprime number because it is at equal distance from previous prime (137911) and next prime (137927).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137919 - 2³ = 137911 is a prime.

It is a super-2 number, since 2×137919² = 38043301122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (23744).

2¹³⁷⁹¹⁹ is an apocalyptic number.

137919 is a deficient number, since it is larger than the sum of its proper divisors (52033).

137919 is a wasteful number, since it uses less digits than its factorization.

137919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517.

The product of its digits is 1701, while the sum is 30.

The square root of 137919 is about 371.3744740824. The cubic root of 137919 is about 51.6663799267. Note that the first 3 decimals are identical.

The spelling of 137919 in words is "one hundred thirty-seven thousand, nine hundred nineteen".