34102375262136 has 96 divisors (see below), whose sum is σ = 95293969570800. Its totient is φ = 11010417569280.

The previous prime is 34102375262089. The next prime is 34102375262209. The reversal of 34102375262136 is 63126257320143.

It is a happy number.

34102375262136 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 2 + 375 + 262 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34102375262091 and 34102375262100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41144691 + ... + 41965346.

Almost surely, 2^{34102375262136} is an apocalyptic number.

34102375262136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34102375262136 is an abundant number, since it is smaller than the sum of its proper divisors (61191594308664).

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

34102375262136 is a wasteful number, since it uses less digits than its factorization.

34102375262136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83110229 (or 83110222 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 34102375262136 in words is "thirty-four trillion, one hundred two billion, three hundred seventy-five million, two hundred sixty-two thousand, one hundred thirty-six".