35052138 has 96 divisors (see below), whose sum is σ = 88957440. Its totient is φ = 9868320.

The previous prime is 35052137. The next prime is 35052139. The reversal of 35052138 is 83125053.

35052138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35052137) and next prime (35052139).

It is not an unprimeable number, because it can be changed into a prime (35052137) 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 47 ways as a sum of consecutive naturals, for example, 195733 + ... + 195911.

It is an arithmetic number, because the mean of its divisors is an integer number (926640).

Almost surely, 2^35052138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35052138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478720).

35052138 is an abundant number, since it is smaller than the sum of its proper divisors (53905302).

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

35052138 is a wasteful number, since it uses less digits than its factorization.

35052138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 35052138 is about 5920.4846085435. The cubic root of 35052138 is about 327.2689760092.

The spelling of 35052138 in words is "thirty-five million, fifty-two thousand, one hundred thirty-eight".