34135142309996 has 96 divisors (see below), whose sum is σ = 73613776212480. Its totient is φ = 13487138025984.

The previous prime is 34135142309969. The next prime is 34135142310007. The reversal of 34135142309996 is 69990324153143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976304411 + ... + 976339373.

It is an arithmetic number, because the mean of its divisors is an integer number (766810168880).

Almost surely, 2^{34135142309996} is an apocalyptic number.

It is an amenable number.

34135142309996 is an abundant number, since it is smaller than the sum of its proper divisors (39478633902484).

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

34135142309996 is a wasteful number, since it uses less digits than its factorization.

34135142309996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38263 (or 38261 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 59.

The spelling of 34135142309996 in words is "thirty-four trillion, one hundred thirty-five billion, one hundred forty-two million, three hundred nine thousand, nine hundred ninety-six".