34137125 has 48 divisors (see below), whose sum is σ = 48882288. Its totient is φ = 23760000.

The previous prime is 34137121. The next prime is 34137127. The reversal of 34137125 is 52173143.

It can be written as a sum of positive squares in 8 ways, for example, as 13498276 + 20638849 = 3674^2 + 4543^2 .

It is not a de Polignac number, because 34137125 - 2² = 34137121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34137094 and 34137103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34137121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559595 + ... + 559655.

It is an arithmetic number, because the mean of its divisors is an integer number (1018381).

Almost surely, 2^34137125 is an apocalyptic number.

It is an amenable number.

34137125 is a deficient number, since it is larger than the sum of its proper divisors (14745163).

34137125 is a wasteful number, since it uses less digits than its factorization.

34137125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 34137125 is about 5842.6984347988. The cubic root of 34137125 is about 324.3961172789.

The spelling of 34137125 in words is "thirty-four million, one hundred thirty-seven thousand, one hundred twenty-five".