137431 has 8 divisors (see below), whose sum is σ = 162720. Its totient is φ = 113568.

The previous prime is 137413. The next prime is 137437. The reversal of 137431 is 134731.

137431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 137431 - 2⁵ = 137399 is a prime.

It is a super-2 number, since 2×137431² = 37774559522, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 4² + 7⁶ + 3⁹ + 1 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137399 and 137408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (20340).

2¹³⁷⁴³¹ is an apocalyptic number.

137431 is a deficient number, since it is larger than the sum of its proper divisors (25289).

137431 is an equidigital number, since it uses as much as digits as its factorization.

137431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713.

The product of its digits is 252, while the sum is 19.

The square root of 137431 is about 370.7168730986. The cubic root of 137431 is about 51.6053707127.

The spelling of 137431 in words is "one hundred thirty-seven thousand, four hundred thirty-one".