34125138 has 40 divisors (see below), whose sum is σ = 76823868. Its totient is φ = 11321856.

The previous prime is 34125131. The next prime is 34125139. The reversal of 34125138 is 83152143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27910089 + 6215049 = 5283^2 + 2493^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34125131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50370 + ... + 51042.

Almost surely, 2^34125138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34125138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38411934).

34125138 is an abundant number, since it is smaller than the sum of its proper divisors (42698730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34125138 is a wasteful number, since it uses less digits than its factorization.

34125138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 991 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 34125138 is about 5841.6725344716. The cubic root of 34125138 is about 324.3581430647.

The spelling of 34125138 in words is "thirty-four million, one hundred twenty-five thousand, one hundred thirty-eight".