414137125 has 16 divisors (see below), whose sum is σ = 518109696. Its totient is φ = 330498000.

The previous prime is 414137099. The next prime is 414137131. The reversal of 414137125 is 521731414.

It is not a de Polignac number, because 414137125 - 2⁵ = 414137093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414137093 and 414137102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50032 + ... + 57718.

It is an arithmetic number, because the mean of its divisors is an integer number (32381856).

Almost surely, 2^414137125 is an apocalyptic number.

It is an amenable number.

414137125 is a deficient number, since it is larger than the sum of its proper divisors (103972571).

414137125 is an equidigital number, since it uses as much as digits as its factorization.

414137125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133 (or 8123 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 414137125 is about 20350.3593334368. The cubic root of 414137125 is about 745.3862687701.

Adding to 414137125 its reverse (521731414), we get a palindrome (935868539).

The spelling of 414137125 in words is "four hundred fourteen million, one hundred thirty-seven thousand, one hundred twenty-five".