34202340133120 has 72 divisors (see below), whose sum is σ = 82523288111544. Its totient is φ = 13581075136512.

The previous prime is 34202340133099. The next prime is 34202340133187. The reversal of 34202340133120 is 2133104320243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 731394406656 + 33470945726464 = 855216^2 + 5785408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97344999 + ... + 97695718.

It is an arithmetic number, because the mean of its divisors is an integer number (1146156779327).

Almost surely, 2^{34202340133120} is an apocalyptic number.

It is an amenable number.

34202340133120 is an abundant number, since it is smaller than the sum of its proper divisors (48320947978424).

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

34202340133120 is a wasteful number, since it uses less digits than its factorization.

34202340133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195040875 (or 195040861 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 34202340133120 its reverse (2133104320243), we get a palindrome (36335444453363).

The spelling of 34202340133120 in words is "thirty-four trillion, two hundred two billion, three hundred forty million, one hundred thirty-three thousand, one hundred twenty".