34133515120 has 20 divisors (see below), whose sum is σ = 79360422840. Its totient is φ = 13653406016.

The previous prime is 34133515057. The next prime is 34133515139. The reversal of 34133515120 is 2151533143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×34133515120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213334390 + ... + 213334549.

It is an arithmetic number, because the mean of its divisors is an integer number (3968021142).

Almost surely, 2^34133515120 is an apocalyptic number.

It is an amenable number.

34133515120 is an abundant number, since it is smaller than the sum of its proper divisors (45226907720).

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

34133515120 is a wasteful number, since it uses less digits than its factorization.

34133515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426668952 (or 426668946 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 34133515120 in words is "thirty-four billion, one hundred thirty-three million, five hundred fifteen thousand, one hundred twenty".