137414 has 8 divisors (see below), whose sum is σ = 208128. Its totient is φ = 68040.

The previous prime is 137413. The next prime is 137437. The reversal of 137414 is 414731.

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

It is a d-powerful number, because it can be written as 1 + 3⁹ + 4² + 7⁶ + 1 + 4³ .

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137413) 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, 17 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (26016).

2¹³⁷⁴¹⁴ is an apocalyptic number.

137414 is a deficient number, since it is larger than the sum of its proper divisors (70714).

137414 is a wasteful number, since it uses less digits than its factorization.

137414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its digits is 336, while the sum is 20.

The square root of 137414 is about 370.6939438405. The cubic root of 137414 is about 51.6032427904.

The spelling of 137414 in words is "one hundred thirty-seven thousand, four hundred fourteen".