34202340133119 has 48 divisors (see below), whose sum is σ = 53710576938720. Its totient is φ = 20903575080960.

The previous prime is 34202340133099. The next prime is 34202340133187. The reversal of 34202340133119 is 91133104320243.

34202340133119 is a `hidden beast` number, since 3 + 4 + 202 + 3 + 401 + 3 + 31 + 19 = 666.

It is not a de Polignac number, because 34202340133119 - 2⁷ = 34202340132991 is a prime.

It is a super-2 number, since 2×34202340133119² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34202340131119) 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, 25186642 + ... + 26509839.

It is an arithmetic number, because the mean of its divisors is an integer number (1118970352890).

Almost surely, 2^{34202340133119} is an apocalyptic number.

34202340133119 is a deficient number, since it is larger than the sum of its proper divisors (19508236805601).

34202340133119 is a wasteful number, since it uses less digits than its factorization.

34202340133119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51696632 (or 51696629 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 34202340133119 in words is "thirty-four trillion, two hundred two billion, three hundred forty million, one hundred thirty-three thousand, one hundred nineteen".