137407 has 4 divisors (see below), whose sum is σ = 138160. Its totient is φ = 136656.

The previous prime is 137399. The next prime is 137413. The reversal of 137407 is 704731.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 137407 - 2³ = 137399 is a prime.

It is a Duffinian number.

137407 is a lucky number.

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 3 ways as a sum of consecutive naturals, for example, 94 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (34540).

2¹³⁷⁴⁰⁷ is an apocalyptic number.

137407 is a deficient number, since it is larger than the sum of its proper divisors (753).

137407 is an equidigital number, since it uses as much as digits as its factorization.

137407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752.

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 137407 is about 370.6845019690. The cubic root of 137407 is about 51.6023665361.

The spelling of 137407 in words is "one hundred thirty-seven thousand, four hundred seven".