137381 has 8 divisors (see below), whose sum is σ = 145920. Its totient is φ = 129168.

The previous prime is 137369. The next prime is 137383. The reversal of 137381 is 183731.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 137381 - 2¹⁴ = 120997 is a prime.

It is a super-2 number, since 2×137381² = 37747078322, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137383) 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 7 ways as a sum of consecutive naturals, for example, 1700 + ... + 1778.

It is an arithmetic number, because the mean of its divisors is an integer number (18240).

2¹³⁷³⁸¹ is an apocalyptic number.

It is an amenable number.

137381 is a deficient number, since it is larger than the sum of its proper divisors (8539).

137381 is an equidigital number, since it uses as much as digits as its factorization.

137381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its digits is 504, while the sum is 23.

The square root of 137381 is about 370.6494300549. The cubic root of 137381 is about 51.5991116166.

The spelling of 137381 in words is "one hundred thirty-seven thousand, three hundred eighty-one".