34000153 has 12 divisors (see below), whose sum is σ = 39572820. Its totient is φ = 29089280.

The previous prime is 34000147. The next prime is 34000171. The reversal of 34000153 is 35100043.

It can be written as a sum of positive squares in 2 ways, for example, as 28815424 + 5184729 = 5368^2 + 2277^2 .

It is not a de Polignac number, because 34000153 - 2⁵ = 34000121 is a prime.

It is a Duffinian number.

34000153 is a modest number, since divided by 153 gives 34 as remainder.

It is not an unprimeable number, because it can be changed into a prime (34000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6208 + ... + 10321.

It is an arithmetic number, because the mean of its divisors is an integer number (3297735).

Almost surely, 2^34000153 is an apocalyptic number.

It is an amenable number.

34000153 is a deficient number, since it is larger than the sum of its proper divisors (5572667).

34000153 is a wasteful number, since it uses less digits than its factorization.

34000153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16568 (or 16557 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 34000153 is about 5830.9650144723. The cubic root of 34000153 is about 323.9616660688.

Adding to 34000153 its reverse (35100043), we get a palindrome (69100196).

The spelling of 34000153 in words is "thirty-four million, one hundred fifty-three", and thus it is an aban number.