137514 has 32 divisors (see below), whose sum is σ = 310464. Its totient is φ = 40320.

The previous prime is 137507. The next prime is 137519. The reversal of 137514 is 415731.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137514.

It is not an unprimeable number, because it can be changed into a prime (137519) 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 15 ways as a sum of consecutive naturals, for example, 3177 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2¹³⁷⁵¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232).

137514 is an abundant number, since it is smaller than the sum of its proper divisors (172950).

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

137514 is a wasteful number, since it uses less digits than its factorization.

137514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its digits is 420, while the sum is 21.

The square root of 137514 is about 370.8288014704. The cubic root of 137514 is about 51.6157574614.

The spelling of 137514 in words is "one hundred thirty-seven thousand, five hundred fourteen".