7845842135136 has 96 divisors (see below), whose sum is σ = 22208064278400. Its totient is φ = 2417204229120.

The previous prime is 7845842135119. The next prime is 7845842135137. The reversal of 7845842135136 is 6315312485487.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7845842135137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52381906 + ... + 52531473.

It is an arithmetic number, because the mean of its divisors is an integer number (231334002900).

Almost surely, 2^{7845842135136} is an apocalyptic number.

7845842135136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

7845842135136 is an abundant number, since it is smaller than the sum of its proper divisors (14362222143264).

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

7845842135136 is a wasteful number, since it uses less digits than its factorization.

7845842135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104913452 (or 104913444 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 7845842135136 in words is "seven trillion, eight hundred forty-five billion, eight hundred forty-two million, one hundred thirty-five thousand, one hundred thirty-six".