34435145132130 has 96 divisors (see below), whose sum is σ = 83343762941760. Its totient is φ = 9105360394240.

The previous prime is 34435145132119. The next prime is 34435145132137. The reversal of 34435145132130 is 3123154153443.

It is not an unprimeable number, because it can be changed into a prime (34435145132137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669124600 + ... + 669176060.

It is an arithmetic number, because the mean of its divisors is an integer number (868164197310).

Almost surely, 2^{34435145132130} is an apocalyptic number.

34435145132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34435145132130 is an abundant number, since it is smaller than the sum of its proper divisors (48908617809630).

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

34435145132130 is a wasteful number, since it uses less digits than its factorization.

34435145132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52356 (or 52003 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 34435145132130 its reverse (3123154153443), we get a palindrome (37558299285573).

The spelling of 34435145132130 in words is "thirty-four trillion, four hundred thirty-five billion, one hundred forty-five million, one hundred thirty-two thousand, one hundred thirty".