137414137 has 8 divisors (see below), whose sum is σ = 165310400. Its totient is φ = 111584304.

The previous prime is 137414129. The next prime is 137414141. The reversal of 137414137 is 731414731.

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 137414137 - 2³ = 137414129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137414099 and 137414108.

It is not an unprimeable number, because it can be changed into a prime (137414117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516462 + ... + 516727.

It is an arithmetic number, because the mean of its divisors is an integer number (20663800).

Almost surely, 2^137414137 is an apocalyptic number.

It is an amenable number.

137414137 is a deficient number, since it is larger than the sum of its proper divisors (27896263).

137414137 is a wasteful number, since it uses less digits than its factorization.

137414137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033215.

The product of its digits is 7056, while the sum is 31.

The square root of 137414137 is about 11722.3776171901. The cubic root of 137414137 is about 516.0325993967.

Adding to 137414137 its reverse (731414731), we get a palindrome (868828868).

The spelling of 137414137 in words is "one hundred thirty-seven million, four hundred fourteen thousand, one hundred thirty-seven".